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122112111012 = 22373293475759
BaseRepresentation
bin111000110111001110…
…0101111000110100100
3102200012012110222010020
41301232130233012210
54000041200023022
6132033022155140
711552023550313
oct1615634570644
9380165428106
10122112111012
1147873115411
121b7bb122ab0
13b6909558b8
145ca5a6627a
15329a61135c
hex1c6e72f1a4

122112111012 has 48 divisors (see below), whose sum is σ = 289817767680. Its totient is φ = 40009344768.

The previous prime is 122112110969. The next prime is 122112111049. The reversal of 122112111012 is 210111211221.

It is a happy number.

It is a super-2 number, since 2×1221121110122 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122112110982 and 122112111000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18789 + ... + 494547.

It is an arithmetic number, because the mean of its divisors is an integer number (6037870160).

Almost surely, 2122112111012 is an apocalyptic number.

122112111012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122112111012 is an abundant number, since it is smaller than the sum of its proper divisors (167705656668).

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

122112111012 is a wasteful number, since it uses less digits than its factorization.

122112111012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476132 (or 476130 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 122112111012 its reverse (210111211221), we get a palindrome (332223322233).

The spelling of 122112111012 in words is "one hundred twenty-two billion, one hundred twelve million, one hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 12 73 146 219 292 293 438 586 876 879 1172 1758 3516 21389 42778 64167 85556 128334 256668 475759 951518 1427277 1903036 2854554 5709108 34730407 69460814 104191221 138921628 139397387 208382442 278794774 416764884 418192161 557589548 836384322 1672768644 10176009251 20352018502 30528027753 40704037004 61056055506 122112111012