122120012111112 has 96 divisors (see below), whose sum is σ = 331338220012800. Its totient is φ = 40633288117632.

The previous prime is 122120012111089. The next prime is 122120012111159. The reversal of 122120012111112 is 211111210021221.

It is a happy number.

122120012111112 is a `hidden beast` number, since 1 + 221 + 200 + 121 + 11 + 112 = 666.

It is a super-3 number, since 3×122120012111112³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166508713 + ... + 167240519.

It is an arithmetic number, because the mean of its divisors is an integer number (3451439791800).

Almost surely, 2^{122120012111112} is an apocalyptic number.

122120012111112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122120012111112 is an abundant number, since it is smaller than the sum of its proper divisors (209218207901688).

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

122120012111112 is a wasteful number, since it uses less digits than its factorization.

122120012111112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735995 (or 735988 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 122120012111112 its reverse (211111210021221), we get a palindrome (333231222132333).

The spelling of 122120012111112 in words is "one hundred twenty-two trillion, one hundred twenty billion, twelve million, one hundred eleven thousand, one hundred twelve".