122211123231000 has 256 divisors, whose sum is σ = 397987844567040. Its totient is φ = 31164000806400.

The previous prime is 122211123230881. The next prime is 122211123231007. The reversal of 122211123231000 is 132321112221.

It is a super-2 number, since 2×122211123231000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122211123231007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 249051889 + ... + 249542111.

It is an arithmetic number, because the mean of its divisors is an integer number (1554640017840).

Almost surely, 2^{122211123231000} is an apocalyptic number.

122211123231000 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 122211123231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198993922283520).

122211123231000 is an abundant number, since it is smaller than the sum of its proper divisors (275776721336040).

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

122211123231000 is a wasteful number, since it uses less digits than its factorization.

122211123231000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493883 (or 493869 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 122211123231000 its reverse (132321112221), we get a palindrome (122343444343221).

The spelling of 122211123231000 in words is "one hundred twenty-two trillion, two hundred eleven billion, one hundred twenty-three million, two hundred thirty-one thousand".