122762952 has 240 divisors, whose sum is σ = 398574000. Its totient is φ = 35178624.

The previous prime is 122762947. The next prime is 122762953. The reversal of 122762952 is 259267221.

It is a happy number.

122762952 is a `hidden beast` number, since 1 + 2 + 27 + 629 + 5 + 2 = 666.

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

Its product of digits (30240) is a multiple of the sum of its prime divisors (96).

It is not an unprimeable number, because it can be changed into a prime (122762953) 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 59 ways as a sum of consecutive naturals, for example, 2080699 + ... + 2080757.

It is an arithmetic number, because the mean of its divisors is an integer number (1660725).

Almost surely, 2^122762952 is an apocalyptic number.

122762952 is a gapful number since it is divisible by the number (12) 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 122762952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199287000).

122762952 is an abundant number, since it is smaller than the sum of its proper divisors (275811048).

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

122762952 is a wasteful number, since it uses less digits than its factorization.

122762952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 96 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 122762952 is about 11079.8444032396. The cubic root of 122762952 is about 496.9992969207. Note that the first 3 decimals are identical.

The spelling of 122762952 in words is "one hundred twenty-two million, seven hundred sixty-two thousand, nine hundred fifty-two".