12252006016164 has 18 divisors (see below), whose sum is σ = 30970348540950. Its totient is φ = 4084002005376.

The previous prime is 12252006016153. The next prime is 12252006016169. The reversal of 12252006016164 is 46161060025221.

12252006016164 is a `hidden beast` number, since 1 + 2 + 2 + 520 + 0 + 60 + 16 + 1 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12193770673764 + 58235342400 = 3491958^2 + 241320^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×12252006016164² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 340333500449 = 12252006016164 / (1 + 2 + 2 + 5 + 2 + 0 + 0 + 6 + 0 + 1 + 6 + 1 + 6 + 4).

It is not an unprimeable number, because it can be changed into a prime (12252006016169) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 170166750189 + ... + 170166750260.

Almost surely, 2^{12252006016164} is an apocalyptic number.

It is an amenable number.

12252006016164 is an abundant number, since it is smaller than the sum of its proper divisors (18718342524786).

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

12252006016164 is a wasteful number, since it uses less digits than its factorization.

12252006016164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340333500459 (or 340333500454 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 12252006016164 in words is "twelve trillion, two hundred fifty-two billion, six million, sixteen thousand, one hundred sixty-four".