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122211020230020 = 223252967349433923
BaseRepresentation
bin11011110010011001111000…
…011100101100110110000100
3121000201021000010102021000100
4123302121320130230312010
5112004301132134330040
61111530545001444100
734512312003066561
oct3362317034546604
9530637003367010
10122211020230020
1135a38447981107
12118593934a0630
1353265b016b877
14222708b459868
15e1dec82e0b30
hex6f267872cd84

122211020230020 has 144 divisors (see below), whose sum is σ = 389213481908160. Its totient is φ = 30996186617088.

The previous prime is 122211020229979. The next prime is 122211020230021. The reversal of 122211020230020 is 20032020112221.

122211020230020 is a `hidden beast` number, since 12 + 22 + 110 + 202 + 300 + 20 = 666.

122211020230020 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122211020229975 and 122211020230002.

It is not an unprimeable number, because it can be changed into a prime (122211020230021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 174367222 + ... + 175066701.

It is an arithmetic number, because the mean of its divisors is an integer number (2702871402140).

Almost surely, 2122211020230020 is an apocalyptic number.

122211020230020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122211020230020 is an abundant number, since it is smaller than the sum of its proper divisors (267002461678140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122211020230020 is a wasteful number, since it uses less digits than its factorization.

122211020230020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349434034 (or 349434029 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 122211020230020 its reverse (20032020112221), we get a palindrome (142243040342241).

The spelling of 122211020230020 in words is "one hundred twenty-two trillion, two hundred eleven billion, twenty million, two hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 67 87 90 116 134 145 174 180 201 261 268 290 335 348 402 435 522 580 603 670 804 870 1005 1044 1206 1305 1340 1740 1943 2010 2412 2610 3015 3886 4020 5220 5829 6030 7772 9715 11658 12060 17487 19430 23316 29145 34974 38860 58290 69948 87435 116580 174870 349740 349433923 698867846 1048301769 1397735692 1747169615 2096603538 3144905307 3494339230 4193207076 5241508845 6289810614 6988678460 10133583767 10483017690 12579621228 15724526535 20267167534 20966035380 23412072841 30400751301 31449053070 40534335068 46824145682 50667918835 60801502602 62898106140 70236218523 91202253903 93648291364 101335837670 117060364205 121603005204 140472437046 152003756505 182404507806 202671675340 210708655569 234120728410 280944874092 304007513010 351181092615 364809015612 421417311138 456011269515 468241456820 608015026020 678950112389 702362185230 842834622276 912022539030 1053543277845 1357900224778 1404724370460 1824045078060 2036850337167 2107086555690 2715800449556 3394750561945 4073700674334 4214173111380 6110551011501 6789501123890 8147401348668 10184251685835 12221102023002 13579002247780 20368503371670 24442204046004 30552755057505 40737006743340 61105510115010 122211020230020