Search a number
-
+
122101221112020 = 22325719554086159
BaseRepresentation
bin11011110000110011100111…
…111010010011100011010100
3121000022202121001000010221100
4123300303213322103203110
5112001001300101041040
61111404305425350100
734501344041016123
oct3360634772234324
9530282531003840
10122101221112020
11359a5923166687
121184004ba98330
135319132477567
142221a32c07aba
15e1b1edb78b30
hex6f0ce7e938d4

122101221112020 has 72 divisors (see below), whose sum is σ = 375590235121920. Its totient is φ = 32101729490880.

The previous prime is 122101221111973. The next prime is 122101221112027. The reversal of 122101221112020 is 20211122101221.

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 = 122101221111984 and 122101221112002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122101221112027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4777030300 + ... + 4777055859.

It is an arithmetic number, because the mean of its divisors is an integer number (5216531043360).

Almost surely, 2122101221112020 is an apocalyptic number.

122101221112020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122101221112020 is an abundant number, since it is smaller than the sum of its proper divisors (253489014009900).

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

122101221112020 is a wasteful number, since it uses less digits than its factorization.

122101221112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9554086245 (or 9554086240 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122101221112020 its reverse (20211122101221), we get a palindrome (142312343213241).

The spelling of 122101221112020 in words is "one hundred twenty-two trillion, one hundred one billion, two hundred twenty-one million, one hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 71 90 142 180 213 284 355 426 639 710 852 1065 1278 1420 2130 2556 3195 4260 6390 12780 9554086159 19108172318 28662258477 38216344636 47770430795 57324516954 85986775431 95540861590 114649033908 143311292385 171973550862 191081723180 286622584770 343947101724 429933877155 573245169540 678340117289 859867754310 1356680234578 1719735508620 2035020351867 2713360469156 3391700586445 4070040703734 6105061055601 6783401172890 8140081407468 10175101759335 12210122111202 13566802345780 20350203518670 24420244222404 30525305278005 40700407037340 61050610556010 122101221112020