125571794812128 has 192 divisors, whose sum is σ = 418603752645120. Its totient is φ = 35874989669376.

The previous prime is 125571794812111. The next prime is 125571794812201. The reversal of 125571794812128 is 821218497175521.

125571794812128 is a `hidden beast` number, since 1 + 2 + 5 + 5 + 71 + 79 + 481 + 2 + 12 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 81349075 + ... + 82878317.

It is an arithmetic number, because the mean of its divisors is an integer number (2180227878360).

Almost surely, 2^{125571794812128} is an apocalyptic number.

125571794812128 is a gapful number since it is divisible by the number (18) 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 125571794812128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209301876322560).

125571794812128 is an abundant number, since it is smaller than the sum of its proper divisors (293031957832992).

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

125571794812128 is a wasteful number, since it uses less digits than its factorization.

125571794812128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1542846 (or 1542832 counting only the distinct ones).

The product of its digits is 22579200, while the sum is 63.

The spelling of 125571794812128 in words is "one hundred twenty-five trillion, five hundred seventy-one billion, seven hundred ninety-four million, eight hundred twelve thousand, one hundred twenty-eight".