12061564000 has 96 divisors (see below), whose sum is σ = 30657463200. Its totient is φ = 4658214400.

The previous prime is 12061563959. The next prime is 12061564003. The reversal of 12061564000 is 46516021.

It is a super-2 number, since 2×12061564000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12061564003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64011 + ... + 167989.

It is an arithmetic number, because the mean of its divisors is an integer number (319348575).

Almost surely, 2^12061564000 is an apocalyptic number.

12061564000 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 12061564000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15328731600).

12061564000 is an abundant number, since it is smaller than the sum of its proper divisors (18595899200).

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

12061564000 is a wasteful number, since it uses less digits than its factorization.

12061564000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104033 (or 104015 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The spelling of 12061564000 in words is "twelve billion, sixty-one million, five hundred sixty-four thousand".