122715360 has 144 divisors (see below), whose sum is σ = 432432000. Its totient is φ = 31656960.

The previous prime is 122715353. The next prime is 122715389. The reversal of 122715360 is 63517221.

It is a happy number.

122715360 is a `hidden beast` number, since 122 + 7 + 1 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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, 43266 + ... + 46014.

It is an arithmetic number, because the mean of its divisors is an integer number (3003000).

Almost surely, 2^122715360 is an apocalyptic number.

122715360 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 122715360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216216000).

122715360 is an abundant number, since it is smaller than the sum of its proper divisors (309716640).

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

122715360 is a wasteful number, since it uses less digits than its factorization.

122715360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2801 (or 2790 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 122715360 is about 11077.6965114594. The cubic root of 122715360 is about 496.9350640573.

The spelling of 122715360 in words is "one hundred twenty-two million, seven hundred fifteen thousand, three hundred sixty".