125381921472 has 168 divisors, whose sum is σ = 372402201600. Its totient is φ = 40290485760.

The previous prime is 125381921453. The next prime is 125381921473. The reversal of 125381921472 is 274129183521.

125381921472 is a `hidden beast` number, since 12 + 5 + 3 + 81 + 92 + 1 + 472 = 666.

It is not an unprimeable number, because it can be changed into a prime (125381921473) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4682779 + ... + 4709477.

Almost surely, 2^125381921472 is an apocalyptic number.

125381921472 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 125381921472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186201100800).

125381921472 is an abundant number, since it is smaller than the sum of its proper divisors (247020280128).

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

125381921472 is a wasteful number, since it uses less digits than its factorization.

125381921472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27011 (or 26998 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The spelling of 125381921472 in words is "one hundred twenty-five billion, three hundred eighty-one million, nine hundred twenty-one thousand, four hundred seventy-two".