122238720 has 252 divisors, whose sum is σ = 442350216. Its totient is φ = 32348160.

The previous prime is 122238703. The next prime is 122238751. The reversal of 122238720 is 27832221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 933055 + ... + 933185.

It is an arithmetic number, because the mean of its divisors is an integer number (1755358).

Almost surely, 2^122238720 is an apocalyptic number.

122238720 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 122238720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221175108).

122238720 is an abundant number, since it is smaller than the sum of its proper divisors (320111496).

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

122238720 is an frugal number, since it uses more digits than its factorization.

122238720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 122238720 is about 11056.1620827482. The cubic root of 122238720 is about 496.2908457223.

The spelling of 122238720 in words is "one hundred twenty-two million, two hundred thirty-eight thousand, seven hundred twenty".