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122111012112 = 2436367399557
BaseRepresentation
bin111000110111001100…
…0100010110100010000
3102200012010102010201020
41301232120202310100
54000040404341422
6132032542435440
711552011322445
oct1615630426420
9380163363636
10122111012112
1147872534831
121b7ba892b80
13b69065c66b
145ca585b9cc
15329a49595c
hex1c6e622d10

122111012112 has 40 divisors (see below), whose sum is σ = 315503782656. Its totient is φ = 40697175936.

The previous prime is 122111012069. The next prime is 122111012113. The reversal of 122111012112 is 211210111221.

It is a happy number.

It is a super-2 number, since 2×1221110121122 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122111012091 and 122111012100.

It is not an unprimeable number, because it can be changed into a prime (122111012113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105838 + ... + 505394.

Almost surely, 2122111012112 is an apocalyptic number.

122111012112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122111012112 is an abundant number, since it is smaller than the sum of its proper divisors (193392770544).

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

122111012112 is a wasteful number, since it uses less digits than its factorization.

122111012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405935 (or 405929 counting only the distinct ones).

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

Adding to 122111012112 its reverse (211210111221), we get a palindrome (333321123333).

The spelling of 122111012112 in words is "one hundred twenty-two billion, one hundred eleven million, twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 6367 12734 19101 25468 38202 50936 76404 101872 152808 305616 399557 799114 1198671 1598228 2397342 3196456 4794684 6392912 9589368 19178736 2543979419 5087958838 7631938257 10175917676 15263876514 20351835352 30527753028 40703670704 61055506056 122111012112