12264009225160 has 128 divisors (see below), whose sum is σ = 34966918045440. Its totient is φ = 3759883545600.

The previous prime is 12264009225101. The next prime is 12264009225161. The reversal of 12264009225160 is 6152290046221.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (12264009225161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32449999 + ... + 32825758.

It is an arithmetic number, because the mean of its divisors is an integer number (273179047230).

Almost surely, 2^{12264009225160} is an apocalyptic number.

12264009225160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12264009225160 is an abundant number, since it is smaller than the sum of its proper divisors (22702908820280).

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

12264009225160 is a wasteful number, since it uses less digits than its factorization.

12264009225160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65275847 (or 65275843 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 12264009225160 in words is "twelve trillion, two hundred sixty-four billion, nine million, two hundred twenty-five thousand, one hundred sixty".