120822240 has 288 divisors, whose sum is σ = 484009344. Its totient is φ = 25052160.

The previous prime is 120822173. The next prime is 120822241. The reversal of 120822240 is 42228021.

It is a happy number.

It is a super-4 number, since 4×120822240⁴ (a number of 33 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120822241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 258487 + ... + 258953.

It is an arithmetic number, because the mean of its divisors is an integer number (1680588).

Almost surely, 2^120822240 is an apocalyptic number.

120822240 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 120822240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242004672).

120822240 is an abundant number, since it is smaller than the sum of its proper divisors (363187104).

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

120822240 is a wasteful number, since it uses less digits than its factorization.

120822240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 120822240 is about 10991.9170302545. The cubic root of 120822240 is about 494.3664172160.

The spelling of 120822240 in words is "one hundred twenty million, eight hundred twenty-two thousand, two hundred forty".