122078125 has 28 divisors (see below), whose sum is σ = 164607268. Its totient is φ = 90000000.

The previous prime is 122078113. The next prime is 122078149. The reversal of 122078125 is 521870221.

122078125 is a nontrivial binomial coefficient, being equal to C(15626, 2).

It can be written as a sum of positive squares in 14 ways, for example, as 100520676 + 21557449 = 10026^2 + 4643^2 .

It is not a de Polignac number, because 122078125 - 2¹³ = 122069933 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122078093 and 122078102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 202825 + ... + 203425.

It is an arithmetic number, because the mean of its divisors is an integer number (5878831).

Almost surely, 2^122078125 is an apocalyptic number.

122078125 is the 15625-th triangular number and also the 7813-rd hexagonal number.

122078125 is the 5209-th centered nonagonal number.

It is an amenable number.

122078125 is a deficient number, since it is larger than the sum of its proper divisors (42529143).

122078125 is an frugal number, since it uses more digits than its factorization.

122078125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 28.

The square root of 122078125 is about 11048.8970037737. The cubic root of 122078125 is about 496.0734111880.

The spelling of 122078125 in words is "one hundred twenty-two million, seventy-eight thousand, one hundred twenty-five".