122012120112000 has 512 divisors, whose sum is σ = 429658415746560. Its totient is φ = 30522839040000.

The previous prime is 122012120111989. The next prime is 122012120112011. The reversal of 122012120112000 is 211021210221.

It is an interprime number because it is at equal distance from previous prime (122012120111989) and next prime (122012120112011).

It is a super-2 number, since 2×122012120112000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 250268475 + ... + 250755525.

It is an arithmetic number, because the mean of its divisors is an integer number (839176593255).

Almost surely, 2^{122012120112000} is an apocalyptic number.

122012120112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122012120112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214829207873280).

122012120112000 is an abundant number, since it is smaller than the sum of its proper divisors (307646295634560).

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

122012120112000 is a wasteful number, since it uses less digits than its factorization.

122012120112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487407 (or 487385 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 122012120112000 its reverse (211021210221), we get a palindrome (122223141322221).

The spelling of 122012120112000 in words is "one hundred twenty-two trillion, twelve billion, one hundred twenty million, one hundred twelve thousand".