122133122121000 has 128 divisors (see below), whose sum is σ = 401110885468800. Its totient is φ = 30854683468800.

The previous prime is 122133122120987. The next prime is 122133122121007. The reversal of 122133122121000 is 121221331221.

It is not an unprimeable number, because it can be changed into a prime (122133122121007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1071286177 + ... + 1071400176.

It is an arithmetic number, because the mean of its divisors is an integer number (3133678792725).

Almost surely, 2^{122133122121000} is an apocalyptic number.

122133122121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122133122121000 is an abundant number, since it is smaller than the sum of its proper divisors (278977763347800).

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

122133122121000 is a wasteful number, since it uses less digits than its factorization.

122133122121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2142686396 (or 2142686382 counting only the distinct ones).

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

Adding to 122133122121000 its reverse (121221331221), we get a palindrome (122254343452221).

The spelling of 122133122121000 in words is "one hundred twenty-two trillion, one hundred thirty-three billion, one hundred twenty-two million, one hundred twenty-one thousand".