120022560 has 384 divisors, whose sum is σ = 495936000. Its totient is φ = 27433728.

The previous prime is 120022559. The next prime is 120022577. The reversal of 120022560 is 65220021.

It is a super-3 number, since 3×120022560³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 630 × 378 × 504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17146077 + ... + 17146083.

It is an arithmetic number, because the mean of its divisors is an integer number (1291500).

Almost surely, 2^120022560 is an apocalyptic number.

120022560 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 120022560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247968000).

120022560 is an abundant number, since it is smaller than the sum of its proper divisors (375913440).

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

120022560 is an frugal number, since it uses more digits than its factorization.

120022560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 120022560 is about 10955.4808201192. The cubic root of 120022560 is about 493.2733227873.

Adding to 120022560 its reverse (65220021), we get a palindrome (185242581).

The spelling of 120022560 in words is "one hundred twenty million, twenty-two thousand, five hundred sixty".