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122101212011022 = 232223214314194511
BaseRepresentation
bin11011110000110011100111…
…010111100101101000001110
3121000022202120101212202201100
4123300303213113211220032
5112001001240233323042
61111404304502323530
734501343600452446
oct3360634727455016
9530282511782640
10122101212011022
11359a591900a9a2
1211840048a295a6
13531913060bc5a
142221a31919126
15e1b1ece7c24c
hex6f0ce75e5a0e

122101212011022 has 48 divisors (see below), whose sum is σ = 265862982647808. Its totient is φ = 40498981039440.

The previous prime is 122101212011021. The next prime is 122101212011057. The reversal of 122101212011022 is 220110212101221.

It is a super-4 number, since 4×1221012120110224 (a number of 57 digits) contains 4444 as substring.

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 = 122101212010986 and 122101212011004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122101212011021) 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, 1504747 + ... + 15699257.

It is an arithmetic number, because the mean of its divisors is an integer number (5538812138496).

Almost surely, 2122101212011022 is an apocalyptic number.

122101212011022 is an abundant number, since it is smaller than the sum of its proper divisors (143761770636786).

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

122101212011022 is a wasteful number, since it uses less digits than its factorization.

122101212011022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14196885 (or 14196882 counting only the distinct ones).

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

Adding to 122101212011022 its reverse (220110212101221), we get a palindrome (342211424112243).

The spelling of 122101212011022 in words is "one hundred twenty-two trillion, one hundred one billion, two hundred twelve million, eleven thousand, twenty-two".

Divisors: 1 2 3 6 9 18 223 446 669 1338 2007 2143 4014 4286 6429 12858 19287 38574 477889 955778 1433667 2867334 4301001 8602002 14194511 28389022 42583533 85167066 127750599 255501198 3165375953 6330751906 9496127859 18992255718 28488383577 30418837073 56976767154 60837674146 91256511219 182513022438 273769533657 547539067314 6783400667279 13566801334558 20350202001837 40700404003674 61050606005511 122101212011022