122112121221120 has 208 divisors, whose sum is σ = 411274833258240. Its totient is φ = 30849377697792.

The previous prime is 122112121221073. The next prime is 122112121221149. The reversal of 122112121221120 is 21122121211221.

It is a super-2 number, since 2×122112121221120² (a number of 29 digits) contains 22 as substring.

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, 51135324 + ... + 53470043.

Almost surely, 2^{122112121221120} is an apocalyptic number.

122112121221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122112121221120 is an abundant number, since it is smaller than the sum of its proper divisors (289162712037120).

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

122112121221120 is a wasteful number, since it uses less digits than its factorization.

122112121221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104605418 (or 104605396 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 122112121221120 its reverse (21122121211221), we get a palindrome (143234242432341).

The spelling of 122112121221120 in words is "one hundred twenty-two trillion, one hundred twelve billion, one hundred twenty-one million, two hundred twenty-one thousand, one hundred twenty".