12102919584 has 96 divisors (see below), whose sum is σ = 36369801216. Its totient is φ = 3452163840.

The previous prime is 12102919571. The next prime is 12102919607. The reversal of 12102919584 is 48591920121.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 393069 + ... + 422739.

It is an arithmetic number, because the mean of its divisors is an integer number (378852096).

Almost surely, 2^12102919584 is an apocalyptic number.

12102919584 is a gapful number since it is divisible by the number (14) 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 12102919584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18184900608).

12102919584 is an abundant number, since it is smaller than the sum of its proper divisors (24266881632).

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

12102919584 is a wasteful number, since it uses less digits than its factorization.

12102919584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30298 (or 30290 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 42.

The spelling of 12102919584 in words is "twelve billion, one hundred two million, nine hundred nineteen thousand, five hundred eighty-four".