122252868 has 48 divisors (see below), whose sum is σ = 319408320. Its totient is φ = 40435200.

The previous prime is 122252849. The next prime is 122252869. The reversal of 122252868 is 868252221.

122252868 is a `hidden beast` number, since 122 + 2 + 528 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (122252869) 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 15 ways as a sum of consecutive naturals, for example, 9828 + ... + 18468.

It is an arithmetic number, because the mean of its divisors is an integer number (6654340).

Almost surely, 2^122252868 is an apocalyptic number.

122252868 is a gapful number since it is divisible by the number (18) 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 122252868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159704160).

122252868 is an abundant number, since it is smaller than the sum of its proper divisors (197155452).

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

122252868 is a wasteful number, since it uses less digits than its factorization.

122252868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8785 (or 8777 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 122252868 is about 11056.8018884305. The cubic root of 122252868 is about 496.3099920070.

The spelling of 122252868 in words is "one hundred twenty-two million, two hundred fifty-two thousand, eight hundred sixty-eight".