122874300 has 144 divisors (see below), whose sum is σ = 418410720. Its totient is φ = 30827520.

The previous prime is 122874293. The next prime is 122874307. The reversal of 122874300 is 3478221.

122874300 is a `hidden beast` number, since 1 + 228 + 7 + 430 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (122874293) and next prime (122874307).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122874307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44562 + ... + 47238.

It is an arithmetic number, because the mean of its divisors is an integer number (2905630).

Almost surely, 2^122874300 is an apocalyptic number.

122874300 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 122874300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209205360).

122874300 is an abundant number, since it is smaller than the sum of its proper divisors (295536420).

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

122874300 is a wasteful number, since it uses less digits than its factorization.

122874300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2717 (or 2704 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 122874300 is about 11084.8680641675. The cubic root of 122874300 is about 497.1495136700.

The spelling of 122874300 in words is "one hundred twenty-two million, eight hundred seventy-four thousand, three hundred".