104013212400 has 240 divisors, whose sum is σ = 389695494400. Its totient is φ = 26276970240.

The previous prime is 104013212357. The next prime is 104013212441. The reversal of 104013212400 is 4212310401.

104013212400 is a `hidden beast` number, since 1 + 0 + 40 + 13 + 212 + 400 = 666.

104013212400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 48244 + ... + 458643.

Almost surely, 2^104013212400 is an apocalyptic number.

104013212400 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 104013212400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194847747200).

104013212400 is an abundant number, since it is smaller than the sum of its proper divisors (285682282000).

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

104013212400 is a wasteful number, since it uses less digits than its factorization.

104013212400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506933 (or 506916 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 104013212400 its reverse (4212310401), we get a palindrome (108225522801).

The spelling of 104013212400 in words is "one hundred four billion, thirteen million, two hundred twelve thousand, four hundred".