12287655216000 has 768 divisors, whose sum is σ = 46908015261120. Its totient is φ = 3071803392000.

The previous prime is 12287655215989. The next prime is 12287655216013. The reversal of 12287655216000 is 61255678221.

12287655216000 is a `hidden beast` number, since 1 + 2 + 2 + 8 + 7 + 65 + 521 + 60 + 0 + 0 = 666.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 629126235 + ... + 629145765.

Almost surely, 2^{12287655216000} is an apocalyptic number.

12287655216000 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 12287655216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23454007630560).

12287655216000 is an abundant number, since it is smaller than the sum of its proper divisors (34620360045120).

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

12287655216000 is a wasteful number, since it uses less digits than its factorization.

12287655216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19840 (or 19815 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 12287655216000 in words is "twelve trillion, two hundred eighty-seven billion, six hundred fifty-five million, two hundred sixteen thousand".