104212133120 has 72 divisors (see below), whose sum is σ = 251152542816. Its totient is φ = 41429035008.

The previous prime is 104212133117. The next prime is 104212133131. The reversal of 104212133120 is 21331212401.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 104212133092 and 104212133101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41102 + ... + 458381.

Almost surely, 2^104212133120 is an apocalyptic number.

104212133120 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 104212133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125576271408).

104212133120 is an abundant number, since it is smaller than the sum of its proper divisors (146940409696).

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

104212133120 is an equidigital number, since it uses as much as digits as its factorization.

104212133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499667 (or 499653 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 104212133120 its reverse (21331212401), we get a palindrome (125543345521).

The spelling of 104212133120 in words is "one hundred four billion, two hundred twelve million, one hundred thirty-three thousand, one hundred twenty".