122821920 has 264 divisors, whose sum is σ = 468728316. Its totient is φ = 30233088.

The previous prime is 122821913. The next prime is 122821939. The reversal of 122821920 is 29128221.

It can be written as a sum of positive squares in 2 ways, for example, as 114318864 + 8503056 = 10692^2 + 2916^2 .

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 702 × 270 × 648.

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 43 ways as a sum of consecutive naturals, for example, 9447834 + ... + 9447846.

Almost surely, 2^122821920 is an apocalyptic number.

122821920 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 122821920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234364158).

122821920 is an abundant number, since it is smaller than the sum of its proper divisors (345906396).

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

122821920 is an frugal number, since it uses more digits than its factorization.

122821920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 122821920 is about 11082.5051319636. The cubic root of 122821920 is about 497.0788604559.

The spelling of 122821920 in words is "one hundred twenty-two million, eight hundred twenty-one thousand, nine hundred twenty".