122011111012000 has 96 divisors (see below), whose sum is σ = 342607199800320. Its totient is φ = 41832380908800.

The previous prime is 122011111011983. The next prime is 122011111012027. The reversal of 122011111012000 is 210111110221.

It is a happy number.

It is a super-2 number, since 2×122011111012000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2178741840 + ... + 2178797839.

It is an arithmetic number, because the mean of its divisors is an integer number (3568824997920).

Almost surely, 2^{122011111012000} is an apocalyptic number.

122011111012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122011111012000 is an abundant number, since it is smaller than the sum of its proper divisors (220596088788320).

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

122011111012000 is an equidigital number, since it uses as much as digits as its factorization.

122011111012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4357539711 (or 4357539693 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 122011111012000 its reverse (210111110221), we get a palindrome (122221222122221).

The spelling of 122011111012000 in words is "one hundred twenty-two trillion, eleven billion, one hundred eleven million, twelve thousand".