122913280 has 160 divisors (see below), whose sum is σ = 355512960. Its totient is φ = 39923712.

The previous prime is 122913277. The next prime is 122913331. The reversal of 122913280 is 82319221.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6469111 + ... + 6469129.

It is an arithmetic number, because the mean of its divisors is an integer number (2221956).

Almost surely, 2^122913280 is an apocalyptic number.

122913280 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 122913280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177756480).

122913280 is an abundant number, since it is smaller than the sum of its proper divisors (232599680).

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

122913280 is an frugal number, since it uses more digits than its factorization.

122913280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 122913280 is about 11086.6261775168. The cubic root of 122913280 is about 497.2020791487.

The spelling of 122913280 in words is "one hundred twenty-two million, nine hundred thirteen thousand, two hundred eighty".