122131112032000 has 144 divisors (see below), whose sum is σ = 309400546946400. Its totient is φ = 48024436531200.

The previous prime is 122131112031977. The next prime is 122131112032009. The reversal of 122131112032000 is 230211131221.

122131112032000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122131112032009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30456045 + ... + 34232044.

It is an arithmetic number, because the mean of its divisors is an integer number (2148614909350).

Almost surely, 2^{122131112032000} is an apocalyptic number.

122131112032000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122131112032000 is an abundant number, since it is smaller than the sum of its proper divisors (187269434914400).

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

122131112032000 is an frugal number, since it uses more digits than its factorization.

122131112032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64688179 (or 64688155 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 122131112032000 its reverse (230211131221), we get a palindrome (122361323163221).

The spelling of 122131112032000 in words is "one hundred twenty-two trillion, one hundred thirty-one billion, one hundred twelve million, thirty-two thousand".