12761146944000 has 3840 divisors, whose sum is σ = 59960066310144. Its totient is φ = 2633637888000.

The previous prime is 12761146943921. The next prime is 12761146944011. The reversal of 12761146944000 is 44964116721.

12761146944000 is a `hidden beast` number, since 1 + 2 + 7 + 61 + 146 + 9 + 440 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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 383 ways as a sum of consecutive naturals, for example, 100481471937 + ... + 100481472063.

Almost surely, 2^{12761146944000} is an apocalyptic number.

12761146944000 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 12761146944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29980033155072).

12761146944000 is an abundant number, since it is smaller than the sum of its proper divisors (47198919366144).

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

12761146944000 is an equidigital number, since it uses as much as digits as its factorization.

12761146944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 12761146944000 in words is "twelve trillion, seven hundred sixty-one billion, one hundred forty-six million, nine hundred forty-four thousand".