12016515360 has 96 divisors (see below), whose sum is σ = 37959788160. Its totient is φ = 3195281408.

The previous prime is 12016515353. The next prime is 12016515377. The reversal of 12016515360 is 6351561021.

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

It is a super-3 number, since 3×12016515360³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 133981 + ... + 204899.

It is an arithmetic number, because the mean of its divisors is an integer number (395414460).

Almost surely, 2^12016515360 is an apocalyptic number.

12016515360 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 12016515360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18979894080).

12016515360 is an abundant number, since it is smaller than the sum of its proper divisors (25943272800).

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

12016515360 is a wasteful number, since it uses less digits than its factorization.

12016515360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71290 (or 71282 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 12016515360 in words is "twelve billion, sixteen million, five hundred fifteen thousand, three hundred sixty".