125314812672 has 288 divisors, whose sum is σ = 394677104640. Its totient is φ = 34542305280.

The previous prime is 125314812643. The next prime is 125314812697. The reversal of 125314812672 is 276218413521.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64828218 + ... + 64830150.

Almost surely, 2^125314812672 is an apocalyptic number.

125314812672 is a gapful number since it is divisible by the number (12) 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 125314812672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197338552320).

125314812672 is an abundant number, since it is smaller than the sum of its proper divisors (269362291968).

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

125314812672 is a wasteful number, since it uses less digits than its factorization.

125314812672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2379 (or 2365 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The spelling of 125314812672 in words is "one hundred twenty-five billion, three hundred fourteen million, eight hundred twelve thousand, six hundred seventy-two".