123130909362400 has 144 divisors (see below), whose sum is σ = 309607178153616. Its totient is φ = 47783113297920.

The previous prime is 123130909362337. The next prime is 123130909362407. The reversal of 123130909362400 is 4263909031321.

It is a super-2 number, since 2×123130909362400² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123130909362407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4277212 + ... + 16265188.

It is an arithmetic number, because the mean of its divisors is an integer number (2150049848289).

Almost surely, 2^{123130909362400} is an apocalyptic number.

123130909362400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123130909362400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154803589076808).

123130909362400 is an abundant number, since it is smaller than the sum of its proper divisors (186476268791216).

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

123130909362400 is a wasteful number, since it uses less digits than its factorization.

123130909362400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11988381 (or 11988368 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 43.

The spelling of 123130909362400 in words is "one hundred twenty-three trillion, one hundred thirty billion, nine hundred nine million, three hundred sixty-two thousand, four hundred".