122653360 has 120 divisors (see below), whose sum is σ = 312944256. Its totient is φ = 44651520.

The previous prime is 122653343. The next prime is 122653361. The reversal of 122653360 is 63356221.

It is not an unprimeable number, because it can be changed into a prime (122653361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 895212 + ... + 895348.

Almost surely, 2^122653360 is an apocalyptic number.

122653360 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 122653360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156472128).

122653360 is an abundant number, since it is smaller than the sum of its proper divisors (190290896).

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

122653360 is a wasteful number, since it uses less digits than its factorization.

122653360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 122653360 is about 11074.8977421916. The cubic root of 122653360 is about 496.8513604248.

It can be divided in two parts, 12265 and 3360, that added together give a 6-th power (15625 = 5⁶).

The spelling of 122653360 in words is "one hundred twenty-two million, six hundred fifty-three thousand, three hundred sixty".