12153867264000 has 3360 divisors, whose sum is σ = 57252476369088. Its totient is φ = 2510880768000.

The previous prime is 12153867263963. The next prime is 12153867264023. The reversal of 12153867264000 is 46276835121.

12153867264000 is a `hidden beast` number, since 1 + 2 + 1 + 5 + 386 + 7 + 264 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 70253567914 + ... + 70253568086.

Almost surely, 2^{12153867264000} is an apocalyptic number.

12153867264000 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 12153867264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28626238184544).

12153867264000 is an abundant number, since it is smaller than the sum of its proper divisors (45098609105088).

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

12153867264000 is an equidigital number, since it uses as much as digits as its factorization.

12153867264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 12153867264000 in words is "twelve trillion, one hundred fifty-three billion, eight hundred sixty-seven million, two hundred sixty-four thousand".