12107553796800 has 1680 divisors, whose sum is σ = 55999983747840. Its totient is φ = 2492550144000.

The previous prime is 12107553796783. The next prime is 12107553796817. The reversal of 12107553796800 is 869735570121.

12107553796800 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 7 + 553 + 7 + 9 + 6 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12107553796783) and next prime (12107553796817).

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1087727235 + ... + 1087738365.

Almost surely, 2^{12107553796800} is an apocalyptic number.

12107553796800 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 12107553796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27999991873920).

12107553796800 is an abundant number, since it is smaller than the sum of its proper divisors (43892429951040).

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

12107553796800 is a wasteful number, since it uses less digits than its factorization.

12107553796800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11292 (or 11268 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The spelling of 12107553796800 in words is "twelve trillion, one hundred seven billion, five hundred fifty-three million, seven hundred ninety-six thousand, eight hundred".