125280120105 has 72 divisors (see below), whose sum is σ = 252829846152. Its totient is φ = 57220079616.

The previous prime is 125280120073. The next prime is 125280120131. The reversal of 125280120105 is 501021082521.

It is a happy number.

125280120105 is a `hidden beast` number, since 1 + 2 + 528 + 0 + 120 + 10 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 39976403481 + 85303716624 = 199941^2 + 292068^2 .

It is not a de Polignac number, because 125280120105 - 2⁵ = 125280120073 is a prime.

It is a super-2 number, since 2×125280120105² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2517727 + ... + 2567003.

It is an arithmetic number, because the mean of its divisors is an integer number (3511525641).

Almost surely, 2^125280120105 is an apocalyptic number.

125280120105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

125280120105 is an abundant number, since it is smaller than the sum of its proper divisors (127549726047).

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

125280120105 is a wasteful number, since it uses less digits than its factorization.

125280120105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50455 (or 50445 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The spelling of 125280120105 in words is "one hundred twenty-five billion, two hundred eighty million, one hundred twenty thousand, one hundred five".