123020013122000 has 80 divisors (see below), whose sum is σ = 307719715726800. Its totient is φ = 47511177459200.

The previous prime is 123020013121997. The next prime is 123020013122033. The reversal of 123020013122000 is 221310020321.

123020013122000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 6856626042256 + 116163387079744 = 2618516^2 + 10777912^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 123020013122000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1060459355 + ... + 1060575354.

It is an arithmetic number, because the mean of its divisors is an integer number (3846496446585).

Almost surely, 2^{123020013122000} is an apocalyptic number.

123020013122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123020013122000 is an abundant number, since it is smaller than the sum of its proper divisors (184699702604800).

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

123020013122000 is a wasteful number, since it uses less digits than its factorization.

123020013122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2121034761 (or 2121034745 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 123020013122000 its reverse (221310020321), we get a palindrome (123241323142321).

The spelling of 123020013122000 in words is "one hundred twenty-three trillion, twenty billion, thirteen million, one hundred twenty-two thousand".