122664960 has 288 divisors, whose sum is σ = 467616240. Its totient is φ = 29736960.

The previous prime is 122664937. The next prime is 122664973. The reversal of 122664960 is 69466221.

122664960 is a `hidden beast` number, since 1 + 2 + 2 + 6 + 649 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 23 ways as a sum of consecutive naturals, for example, 11151355 + ... + 11151365.

Almost surely, 2^122664960 is an apocalyptic number.

122664960 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 122664960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233808120).

122664960 is an abundant number, since it is smaller than the sum of its proper divisors (344951280).

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

122664960 is an equidigital number, since it uses as much as digits as its factorization.

122664960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 122664960 is about 11075.4214366768. The cubic root of 122664960 is about 496.8670232492.

The spelling of 122664960 in words is "one hundred twenty-two million, six hundred sixty-four thousand, nine hundred sixty".