122129625 has 64 divisors (see below), whose sum is σ = 218200320. Its totient is φ = 60480000.

The previous prime is 122129617. The next prime is 122129629. The reversal of 122129625 is 526921221.

It is not a de Polignac number, because 122129625 - 2³ = 122129617 is a prime.

It is a super-3 number, since 3×122129625³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122129592 and 122129601.

It is not an unprimeable number, because it can be changed into a prime (122129629) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 434485 + ... + 434765.

It is an arithmetic number, because the mean of its divisors is an integer number (3409380).

Almost surely, 2^122129625 is an apocalyptic number.

122129625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122129625 is a deficient number, since it is larger than the sum of its proper divisors (96070695).

122129625 is a wasteful number, since it uses less digits than its factorization.

122129625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 369 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 122129625 is about 11051.2273074080. The cubic root of 122129625 is about 496.1431593895.

The spelling of 122129625 in words is "one hundred twenty-two million, one hundred twenty-nine thousand, six hundred twenty-five".