122553424 has 40 divisors (see below), whose sum is σ = 272928960. Its totient is φ = 52220928.

The previous prime is 122553421. The next prime is 122553427. The reversal of 122553424 is 424355221.

It is an interprime number because it is at equal distance from previous prime (122553421) and next prime (122553427).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 122553392 and 122553401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122553421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16992 + ... + 23104.

It is an arithmetic number, because the mean of its divisors is an integer number (6823224).

Almost surely, 2^122553424 is an apocalyptic number.

122553424 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 122553424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136464480).

122553424 is an abundant number, since it is smaller than the sum of its proper divisors (150375536).

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

122553424 is a wasteful number, since it uses less digits than its factorization.

122553424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6307 (or 6301 counting only the distinct ones).

The product of its digits is 9600, while the sum is 28.

The square root of 122553424 is about 11070.3849978219. The cubic root of 122553424 is about 496.7163815727.

The spelling of 122553424 in words is "one hundred twenty-two million, five hundred fifty-three thousand, four hundred twenty-four".