122011311000 has 256 divisors, whose sum is σ = 392672142720. Its totient is φ = 31518720000.

The previous prime is 122011310951. The next prime is 122011311011. The reversal of 122011311000 is 113110221.

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 63 ways as a sum of consecutive naturals, for example, 26748720 + ... + 26753280.

Almost surely, 2^122011311000 is an apocalyptic number.

122011311000 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 122011311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196336071360).

122011311000 is an abundant number, since it is smaller than the sum of its proper divisors (270660831720).

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

122011311000 is a wasteful number, since it uses less digits than its factorization.

122011311000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4863 (or 4849 counting only the distinct ones).

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

Adding to 122011311000 its reverse (113110221), we get a palindrome (122124421221).

The spelling of 122011311000 in words is "one hundred twenty-two billion, eleven million, three hundred eleven thousand".