122643360 has 288 divisors, whose sum is σ = 500048640. Its totient is φ = 26813952.

The previous prime is 122643317. The next prime is 122643401. The reversal of 122643360 is 63346221.

122643360 is a `hidden beast` number, since 1 + 226 + 433 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5332309 + ... + 5332331.

It is an arithmetic number, because the mean of its divisors is an integer number (1736280).

Almost surely, 2^122643360 is an apocalyptic number.

122643360 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 122643360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250024320).

122643360 is an abundant number, since it is smaller than the sum of its proper divisors (377405280).

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

122643360 is an equidigital number, since it uses as much as digits as its factorization.

122643360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 122643360 is about 11074.4462615519. The cubic root of 122643360 is about 496.8378571974.

Adding to 122643360 its reverse (63346221), we get a palindrome (185989581).

The spelling of 122643360 in words is "one hundred twenty-two million, six hundred forty-three thousand, three hundred sixty".