123100131301200 has 360 divisors, whose sum is σ = 431778482068440. Its totient is φ = 32474774016000.

The previous prime is 123100131301183. The next prime is 123100131301223. The reversal of 123100131301200 is 2103131001321.

123100131301200 is a `hidden beast` number, since 1 + 2 + 31 + 0 + 0 + 131 + 301 + 200 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 36950399171856 + 86149732129344 = 6078684^2 + 9281688^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 440907246 + ... + 441186354.

Almost surely, 2^{123100131301200} is an apocalyptic number.

123100131301200 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 123100131301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215889241034220).

123100131301200 is an abundant number, since it is smaller than the sum of its proper divisors (308678350767240).

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

123100131301200 is a wasteful number, since it uses less digits than its factorization.

123100131301200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280447 (or 280433 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 123100131301200 its reverse (2103131001321), we get a palindrome (125203262302521).

The spelling of 123100131301200 in words is "one hundred twenty-three trillion, one hundred billion, one hundred thirty-one million, three hundred one thousand, two hundred".