122607360 has 216 divisors, whose sum is σ = 440032320. Its totient is φ = 31481856.

The previous prime is 122607347. The next prime is 122607403. The reversal of 122607360 is 63706221.

122607360 = 211² + 212² + ... + 722².

It is a happy number.

122607360 is a `hidden beast` number, since 1 + 22 + 607 + 36 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 333897 + ... + 334263.

Almost surely, 2^122607360 is an apocalyptic number.

122607360 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 122607360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220016160).

122607360 is an abundant number, since it is smaller than the sum of its proper divisors (317424960).

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

122607360 is a wasteful number, since it uses less digits than its factorization.

122607360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 122607360 is about 11072.8207788260. The cubic root of 122607360 is about 496.7892395003.

The spelling of 122607360 in words is "one hundred twenty-two million, six hundred seven thousand, three hundred sixty".