122484960 has 240 divisors, whose sum is σ = 466161696. Its totient is φ = 30108672.

The previous prime is 122484953. The next prime is 122484977. The reversal of 122484960 is 69484221.

122484960 is a `hidden beast` number, since 122 + 48 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 168117 + ... + 168843.

Almost surely, 2^122484960 is an apocalyptic number.

122484960 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 122484960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233080848).

122484960 is an abundant number, since it is smaller than the sum of its proper divisors (343676736).

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

122484960 is a wasteful number, since it uses less digits than its factorization.

122484960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 122484960 is about 11067.2923517905. The cubic root of 122484960 is about 496.6238681097.

The spelling of 122484960 in words is "one hundred twenty-two million, four hundred eighty-four thousand, nine hundred sixty".