12401406763200 has 3360 divisors, whose sum is σ = 59159163571200. Its totient is φ = 2476575129600.

The previous prime is 12401406763181. The next prime is 12401406763243. The reversal of 12401406763200 is 236760410421.

12401406763200 is a `hidden beast` number, since 1 + 2 + 4 + 0 + 14 + 0 + 6 + 7 + 632 + 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 35534116626 + ... + 35534116974.

It is an arithmetic number, because the mean of its divisors is an integer number (17606893920).

Almost surely, 2^{12401406763200} is an apocalyptic number.

12401406763200 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 12401406763200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29579581785600).

12401406763200 is an abundant number, since it is smaller than the sum of its proper divisors (46757756808000).

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

12401406763200 is a wasteful number, since it uses less digits than its factorization.

12401406763200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 12401406763200 in words is "twelve trillion, four hundred one billion, four hundred six million, seven hundred sixty-three thousand, two hundred".