123530513401200 has 120 divisors (see below), whose sum is σ = 395897942160000. Its totient is φ = 32925775681280.

The previous prime is 123530513401199. The next prime is 123530513401261. The reversal of 123530513401200 is 2104315035321.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-4 number, since 4×123530513401200⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22002900 + ... + 27040499.

It is an arithmetic number, because the mean of its divisors is an integer number (3299149518000).

Almost surely, 2^{123530513401200} is an apocalyptic number.

123530513401200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123530513401200 is an abundant number, since it is smaller than the sum of its proper divisors (272367428758800).

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

123530513401200 is a wasteful number, since it uses less digits than its factorization.

123530513401200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49045519 (or 49045508 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 123530513401200 its reverse (2104315035321), we get a palindrome (125634828436521).

The spelling of 123530513401200 in words is "one hundred twenty-three trillion, five hundred thirty billion, five hundred thirteen million, four hundred one thousand, two hundred".