122011211012112 has 240 divisors, whose sum is σ = 384068310912000. Its totient is φ = 35930700804096.

The previous prime is 122011211012111. The next prime is 122011211012113. The reversal of 122011211012112 is 211210112110221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (122011211012111) and next prime (122011211012113).

It is a super-2 number, since 2×122011211012112² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (122011211012111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6963312 + ... + 17102927.

It is an arithmetic number, because the mean of its divisors is an integer number (1600284628800).

Almost surely, 2^{122011211012112} is an apocalyptic number.

122011211012112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122011211012112 is an abundant number, since it is smaller than the sum of its proper divisors (262057099899888).

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

122011211012112 is a wasteful number, since it uses less digits than its factorization.

122011211012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24066398 (or 24066389 counting only the distinct ones).

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

Adding to 122011211012112 its reverse (211210112110221), we get a palindrome (333221323122333).

The spelling of 122011211012112 in words is "one hundred twenty-two trillion, eleven billion, two hundred eleven million, twelve thousand, one hundred twelve".