122022560 has 192 divisors, whose sum is σ = 342921600. Its totient is φ = 40550400.

The previous prime is 122022553. The next prime is 122022581. The reversal of 122022560 is 65220221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1370996 + ... + 1371084.

It is an arithmetic number, because the mean of its divisors is an integer number (1786050).

Almost surely, 2^122022560 is an apocalyptic number.

122022560 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 122022560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171460800).

122022560 is an abundant number, since it is smaller than the sum of its proper divisors (220899040).

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

122022560 is a wasteful number, since it uses less digits than its factorization.

122022560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 122022560 is about 11046.3822131954. The cubic root of 122022560 is about 495.9981356156.

Adding to 122022560 its reverse (65220221), we get a palindrome (187242781).

The spelling of 122022560 in words is "one hundred twenty-two million, twenty-two thousand, five hundred sixty".