122212112112000 has 768 divisors, whose sum is σ = 443990712484800. Its totient is φ = 32212561920000.

The previous prime is 122212112111861. The next prime is 122212112112011. The reversal of 122212112112000 is 211211212221.

122212112112000 is a `hidden beast` number, since 1 + 2 + 221 + 211 + 211 + 20 + 0 + 0 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 8973641191 + ... + 8973654809.

Almost surely, 2^{122212112112000} is an apocalyptic number.

122212112112000 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 122212112112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221995356242400).

122212112112000 is an abundant number, since it is smaller than the sum of its proper divisors (321778600372800).

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

122212112112000 is a wasteful number, since it uses less digits than its factorization.

122212112112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14372 (or 14347 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122212112112000 its reverse (211211212221), we get a palindrome (122423323324221).

The spelling of 122212112112000 in words is "one hundred twenty-two trillion, two hundred twelve billion, one hundred twelve million, one hundred twelve thousand".