122131020000000 has 1152 divisors, whose sum is σ = 445852746114048. Its totient is φ = 29433600000000.

The previous prime is 122131019999941. The next prime is 122131020000089. The reversal of 122131020000000 is 20131221.

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

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, 139259999562 + ... + 139260000438.

It is an arithmetic number, because the mean of its divisors is an integer number (387024953224).

Almost surely, 2^{122131020000000} is an apocalyptic number.

122131020000000 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 122131020000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222926373057024).

122131020000000 is an abundant number, since it is smaller than the sum of its proper divisors (323721726114048).

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

122131020000000 is an frugal number, since it uses more digits than its factorization.

122131020000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 122131020000000 its reverse (20131221), we get a palindrome (122131040131221).

The spelling of 122131020000000 in words is "one hundred twenty-two trillion, one hundred thirty-one billion, twenty million", and thus it is an aban number.