123145535224200 has 192 divisors, whose sum is σ = 400103887426560. Its totient is φ = 31272659672320.

The previous prime is 123145535224181. The next prime is 123145535224207. The reversal of 123145535224200 is 2422535541321.

It is not an unprimeable number, because it can be changed into a prime (123145535224207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16522884 + ... + 22788083.

It is an arithmetic number, because the mean of its divisors is an integer number (2083874413680).

Almost surely, 2^{123145535224200} is an apocalyptic number.

123145535224200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123145535224200 is an abundant number, since it is smaller than the sum of its proper divisors (276958352202360).

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

123145535224200 is a wasteful number, since it uses less digits than its factorization.

123145535224200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39311236 (or 39311227 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 39.

The spelling of 123145535224200 in words is "one hundred twenty-three trillion, one hundred forty-five billion, five hundred thirty-five million, two hundred twenty-four thousand, two hundred".