125467665120000 has 2880 divisors, whose sum is σ = 541284377553920. Its totient is φ = 28419102720000.

The previous prime is 125467665119983. The next prime is 125467665120011. The reversal of 125467665120000 is 21566764521.

125467665120000 is a `hidden beast` number, since 1 + 2 + 5 + 467 + 6 + 65 + 120 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×125467665120000² (a number of 29 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 319 ways as a sum of consecutive naturals, for example, 443348639859 + ... + 443348640141.

Almost surely, 2^{125467665120000} is an apocalyptic number.

125467665120000 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 125467665120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270642188776960).

125467665120000 is an abundant number, since it is smaller than the sum of its proper divisors (415816712433920).

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

125467665120000 is an frugal number, since it uses more digits than its factorization.

125467665120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 125467665120000 in words is "one hundred twenty-five trillion, four hundred sixty-seven billion, six hundred sixty-five million, one hundred twenty thousand".