12001164155253 has 48 divisors (see below), whose sum is σ = 21335755948416. Its totient is φ = 6330179652480.

The previous prime is 12001164155251. The next prime is 12001164155261. The reversal of 12001164155253 is 35255146110021.

12001164155253 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 1 + 1 + 641 + 5 + 5 + 2 + 5 + 3 = 666.

12001164155253 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12001164155253 - 2¹ = 12001164155251 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001164155251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93922138 + ... + 94049828.

It is an arithmetic number, because the mean of its divisors is an integer number (444494915592).

Almost surely, 2^{12001164155253} is an apocalyptic number.

12001164155253 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12001164155253 is a deficient number, since it is larger than the sum of its proper divisors (9334591793163).

12001164155253 is a wasteful number, since it uses less digits than its factorization.

12001164155253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242474 (or 242471 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 12001164155253 in words is "twelve trillion, one billion, one hundred sixty-four million, one hundred fifty-five thousand, two hundred fifty-three".