12161520000 has 960 divisors, whose sum is σ = 53023027200. Its totient is φ = 2612736000.

The previous prime is 12161519983. The next prime is 12161520013. The reversal of 12161520000 is 2516121.

It is a tau number, because it is divible by the number of its divisors (960).

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 119 ways as a sum of consecutive naturals, for example, 95759937 + ... + 95760063.

It is an arithmetic number, because the mean of its divisors is an integer number (55232320).

Almost surely, 2^12161520000 is an apocalyptic number.

12161520000 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 12161520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26511513600).

12161520000 is an abundant number, since it is smaller than the sum of its proper divisors (40861507200).

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

12161520000 is a wasteful number, since it uses less digits than its factorization.

12161520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The spelling of 12161520000 in words is "twelve billion, one hundred sixty-one million, five hundred twenty thousand".