123011310400 has 126 divisors (see below), whose sum is σ = 332703547190. Its totient is φ = 44731315200.

The previous prime is 123011310347. The next prime is 123011310421. The reversal of 123011310400 is 4013110321.

It can be written as a sum of positive squares in 3 ways, for example, as 35896607296 + 87114703104 = 189464^2 + 295152^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 124095 + ... + 511294.

Almost surely, 2^123011310400 is an apocalyptic number.

123011310400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123011310400 is an abundant number, since it is smaller than the sum of its proper divisors (209692236790).

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

123011310400 is a wasteful number, since it uses less digits than its factorization.

123011310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635433 (or 635407 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 123011310400 its reverse (4013110321), we get a palindrome (127024420721).

The spelling of 123011310400 in words is "one hundred twenty-three billion, eleven million, three hundred ten thousand, four hundred".