122211111000 has 512 divisors, whose sum is σ = 431869501440. Its totient is φ = 28512000000.

The previous prime is 122211110981. The next prime is 122211111019. The reversal of 122211111000 is 111112221.

It is an interprime number because it is at equal distance from previous prime (122211110981) and next prime (122211111019).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 123320505 + ... + 123321495.

It is an arithmetic number, because the mean of its divisors is an integer number (843495120).

Almost surely, 2^122211111000 is an apocalyptic number.

122211111000 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 122211111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215934750720).

122211111000 is an abundant number, since it is smaller than the sum of its proper divisors (309658390440).

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

122211111000 is a wasteful number, since it uses less digits than its factorization.

122211111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 122211111000 its reverse (111112221), we get a palindrome (122322223221).

The spelling of 122211111000 in words is "one hundred twenty-two billion, two hundred eleven million, one hundred eleven thousand".