122057280 has 280 divisors, whose sum is σ = 461378808. Its totient is φ = 30523392.

The previous prime is 122057269. The next prime is 122057321. The reversal of 122057280 is 82750221.

122057280 is a `hidden beast` number, since 12 + 2 + 0 + 572 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10036224 + 112021056 = 3168^2 + 10584^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 440502 + ... + 440778.

Almost surely, 2^122057280 is an apocalyptic number.

122057280 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 122057280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230689404).

122057280 is an abundant number, since it is smaller than the sum of its proper divisors (339321528).

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

122057280 is a wasteful number, since it uses less digits than its factorization.

122057280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 122057280 is about 11047.9536566733. The cubic root of 122057280 is about 496.0451745189.

The spelling of 122057280 in words is "one hundred twenty-two million, fifty-seven thousand, two hundred eighty".