12120290884800 has 1260 divisors, whose sum is σ = 51903351153720. Its totient is φ = 2766155857920.

The previous prime is 12120290884781. The next prime is 12120290884813. The reversal of 12120290884800 is 848809202121.

12120290884800 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 0 + 2 + 90 + 88 + 480 + 0 = 666.

12120290884800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1260).

It is a super-2 number, since 2×12120290884800² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 6471056664 + ... + 6471058536.

Almost surely, 2^{12120290884800} is an apocalyptic number.

12120290884800 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 12120290884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25951675576860).

12120290884800 is an abundant number, since it is smaller than the sum of its proper divisors (39783060268920).

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

12120290884800 is a wasteful number, since it uses less digits than its factorization.

12120290884800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2940 (or 2909 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 12120290884800 in words is "twelve trillion, one hundred twenty billion, two hundred ninety million, eight hundred eighty-four thousand, eight hundred".