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122231332220020 = 225193710799805033
BaseRepresentation
bin11011110010101100110011…
…001000110010110001110100
3121000210012102201000021002021
4123302230303020302301310
5112010114232022020040
61111544144314122524
734513631234131402
oct3362546310626164
9530705381007067
10122231332220020
1135a46020523901
1211861301a20444
13532849938186a
142228056d56472
15e1e7b663824a
hex6f2b33232c74

122231332220020 has 96 divisors (see below), whose sum is σ = 277524201024000. Its totient is φ = 45063141018624.

The previous prime is 122231332219987. The next prime is 122231332220021. The reversal of 122231332220020 is 20022233132221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122231332220021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151431424 + ... + 152236456.

It is an arithmetic number, because the mean of its divisors is an integer number (2890877094000).

Almost surely, 2122231332220020 is an apocalyptic number.

122231332220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122231332220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138762100512000).

122231332220020 is an abundant number, since it is smaller than the sum of its proper divisors (155292868803980).

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

122231332220020 is a wasteful number, since it uses less digits than its factorization.

122231332220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815897 (or 815895 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 122231332220020 its reverse (20022233132221), we get a palindrome (142253565352241).

The spelling of 122231332220020 in words is "one hundred twenty-two trillion, two hundred thirty-one billion, three hundred thirty-two million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 19 20 37 38 74 76 95 148 185 190 370 380 703 740 1406 2812 3515 7030 10799 14060 21598 43196 53995 107990 205181 215980 399563 410362 799126 805033 820724 1025905 1598252 1610066 1997815 2051810 3220132 3995630 4025165 4103620 7591697 7991260 8050330 15183394 15295627 16100660 29786221 30366788 30591254 37958485 59572442 61182508 75916970 76478135 119144884 148931105 151833940 152956270 297862210 305912540 565938199 595724420 1131876398 2263752796 2829690995 5659381990 8693551367 11318763980 17387102734 34774205468 43467756835 86935513670 165177475973 173871027340 321661400579 330354951946 643322801158 660709903892 825887379865 1286645602316 1608307002895 1651774759730 3216614005790 3303549519460 6111566611001 6433228011580 12223133222002 24446266444004 30557833055005 61115666110010 122231332220020