125829199872 has 120 divisors (see below), whose sum is σ = 375842867400. Its totient is φ = 41943011328.

The previous prime is 125829199849. The next prime is 125829199889. The reversal of 125829199872 is 278991928521.

125829199872 is a `hidden beast` number, since 1 + 258 + 291 + 9 + 98 + 7 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 213372 + ... + 545147.

It is an arithmetic number, because the mean of its divisors is an integer number (3132023895).

Almost surely, 2^125829199872 is an apocalyptic number.

125829199872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

125829199872 is an abundant number, since it is smaller than the sum of its proper divisors (250013667528).

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

125829199872 is an frugal number, since it uses more digits than its factorization.

125829199872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758553 (or 758524 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 63.

The spelling of 125829199872 in words is "one hundred twenty-five billion, eight hundred twenty-nine million, one hundred ninety-nine thousand, eight hundred seventy-two".