122520384 has 168 divisors, whose sum is σ = 419282880. Its totient is φ = 34981632.

The previous prime is 122520383. The next prime is 122520413. The reversal of 122520384 is 483025221.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×122520384² = 30022488991014912, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122520383) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 83949 + ... + 85395.

Almost surely, 2^122520384 is an apocalyptic number.

122520384 is a gapful number since it is divisible by the number (14) 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 122520384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209641440).

122520384 is an abundant number, since it is smaller than the sum of its proper divisors (296762496).

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

122520384 is a wasteful number, since it uses less digits than its factorization.

122520384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482 (or 1459 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 122520384 is about 11068.8926275396. The cubic root of 122520384 is about 496.6717398598.

It can be divided in two parts, 1225 and 20384, that added together give a square (21609 = 147²).

The spelling of 122520384 in words is "one hundred twenty-two million, five hundred twenty thousand, three hundred eighty-four".