125312400000 has 768 divisors, whose sum is σ = 475225833600. Its totient is φ = 32486400000.

The previous prime is 125312399981. The next prime is 125312400011. The reversal of 125312400000 is 4213521.

125312400000 is a `hidden beast` number, since 1 + 253 + 12 + 400 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 442799859 + ... + 442800141.

Almost surely, 2^125312400000 is an apocalyptic number.

125312400000 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 125312400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237612916800).

125312400000 is an abundant number, since it is smaller than the sum of its proper divisors (349913433600).

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

125312400000 is an frugal number, since it uses more digits than its factorization.

125312400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 125312400000 its reverse (4213521), we get a palindrome (125316613521).

The spelling of 125312400000 in words is "one hundred twenty-five billion, three hundred twelve million, four hundred thousand".