12024552121164 has 144 divisors (see below), whose sum is σ = 34304150200320. Its totient is φ = 3517936168320.

The previous prime is 12024552121139. The next prime is 12024552121181. The reversal of 12024552121164 is 46112125542021.

12024552121164 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 455 + 21 + 21 + 164 = 666.

It is a super-3 number, since 3×12024552121164³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 328458549 + ... + 328495155.

It is an arithmetic number, because the mean of its divisors is an integer number (238223265280).

Almost surely, 2^{12024552121164} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12024552121164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17152075100160).

12024552121164 is an abundant number, since it is smaller than the sum of its proper divisors (22279598079156).

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

12024552121164 is a wasteful number, since it uses less digits than its factorization.

12024552121164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65260 (or 65255 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

Adding to 12024552121164 its reverse (46112125542021), we get a palindrome (58136677663185).

The spelling of 12024552121164 in words is "twelve trillion, twenty-four billion, five hundred fifty-two million, one hundred twenty-one thousand, one hundred sixty-four".