122652000 has 144 divisors (see below), whose sum is σ = 435419712. Its totient is φ = 32697600.

The previous prime is 122651993. The next prime is 122652001. The reversal of 122652000 is 256221.

122652000 is a `hidden beast` number, since 12 + 2 + 652 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122652001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34297 + ... + 37703.

It is an arithmetic number, because the mean of its divisors is an integer number (3023748).

Almost surely, 2^122652000 is an apocalyptic number.

122652000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122652000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217709856).

122652000 is an abundant number, since it is smaller than the sum of its proper divisors (312767712).

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

122652000 is a wasteful number, since it uses less digits than its factorization.

122652000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3438 (or 3417 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 122652000 is about 11074.8363419059. The cubic root of 122652000 is about 496.8495240290.

The spelling of 122652000 in words is "one hundred twenty-two million, six hundred fifty-two thousand".