122211213122112 has 56 divisors (see below), whose sum is σ = 342371119123296. Its totient is φ = 38340772743168.

The previous prime is 122211213122087. The next prime is 122211213122113. The reversal of 122211213122112 is 211221312112221.

It is a happy number.

It is a super-2 number, since 2×122211213122112² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (122211213122113) 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, 18721077178 + ... + 18721083705.

Almost surely, 2^{122211213122112} is an apocalyptic number.

122211213122112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122211213122112 is an abundant number, since it is smaller than the sum of its proper divisors (220159906001184).

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

122211213122112 is a wasteful number, since it uses less digits than its factorization.

122211213122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37442160915 (or 37442160905 counting only the distinct ones).

The product of its digits is 384, while the sum is 24.

Adding to 122211213122112 its reverse (211221312112221), we get a palindrome (333432525234333).

The spelling of 122211213122112 in words is "one hundred twenty-two trillion, two hundred eleven billion, two hundred thirteen million, one hundred twenty-two thousand, one hundred twelve".