122211012000000 has 1008 divisors, whose sum is σ = 506895291657216. Its totient is φ = 25394304000000.

The previous prime is 122211011999953. The next prime is 122211012000013. The reversal of 122211012000000 is 210112221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 122211012000000.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 923933869 + ... + 924066131.

It is an arithmetic number, because the mean of its divisors is an integer number (502872313152).

Almost surely, 2^{122211012000000} is an apocalyptic number.

122211012000000 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 122211012000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253447645828608).

122211012000000 is an abundant number, since it is smaller than the sum of its proper divisors (384684279657216).

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

122211012000000 is an frugal number, since it uses more digits than its factorization.

122211012000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132330 (or 132291 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122211012000000 its reverse (210112221), we get a palindrome (122211222112221).

The spelling of 122211012000000 in words is "one hundred twenty-two trillion, two hundred eleven billion, twelve million", and thus it is an aban number.