122652144 has 200 divisors, whose sum is σ = 397005840. Its totient is φ = 36329472.

The previous prime is 122652139. The next prime is 122652247. The reversal of 122652144 is 441256221.

122652144 is a `hidden beast` number, since 1 + 2 + 2 + 652 + 1 + 4 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 418462 + ... + 418754.

Almost surely, 2^122652144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122652144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198502920).

122652144 is an abundant number, since it is smaller than the sum of its proper divisors (274353696).

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

122652144 is a wasteful number, since it uses less digits than its factorization.

122652144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 334 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 122652144 is about 11074.8428431287. The cubic root of 122652144 is about 496.8497184716.

The spelling of 122652144 in words is "one hundred twenty-two million, six hundred fifty-two thousand, one hundred forty-four".