122882760 has 576 divisors, whose sum is σ = 557706240. Its totient is φ = 22809600.

The previous prime is 122882741. The next prime is 122882807. The reversal of 122882760 is 67288221.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3963945 + ... + 3963975.

It is an arithmetic number, because the mean of its divisors is an integer number (968240).

Almost surely, 2^122882760 is an apocalyptic number.

122882760 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 122882760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278853120).

122882760 is an abundant number, since it is smaller than the sum of its proper divisors (434823480).

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

122882760 is a wasteful number, since it uses less digits than its factorization.

122882760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 122882760 is about 11085.2496588936. The cubic root of 122882760 is about 497.1609231304.

The spelling of 122882760 in words is "one hundred twenty-two million, eight hundred eighty-two thousand, seven hundred sixty".