125292123 has 32 divisors (see below), whose sum is σ = 203857920. Its totient is φ = 75422880.

The previous prime is 125292113. The next prime is 125292127. The reversal of 125292123 is 321292521.

It is a happy number.

125292123 is a `hidden beast` number, since 12 + 529 + 2 + 123 = 666.

It is not a de Polignac number, because 125292123 - 2⁴ = 125292107 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (125292127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45286 + ... + 47972.

It is an arithmetic number, because the mean of its divisors is an integer number (6370560).

Almost surely, 2^125292123 is an apocalyptic number.

125292123 is a deficient number, since it is larger than the sum of its proper divisors (78565797).

125292123 is a wasteful number, since it uses less digits than its factorization.

125292123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2864 (or 2858 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 125292123 is about 11193.3964014503. The cubic root of 125292123 is about 500.3891943103.

The spelling of 125292123 in words is "one hundred twenty-five million, two hundred ninety-two thousand, one hundred twenty-three".