122553648 has 280 divisors, whose sum is σ = 433702400. Its totient is φ = 32752512.

The previous prime is 122553631. The next prime is 122553661. The reversal of 122553648 is 846355221.

122553648 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 5 + 3 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 1551273 + ... + 1551351.

Almost surely, 2^122553648 is an apocalyptic number.

122553648 is a gapful number since it is divisible by the number (18) 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 122553648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216851200).

122553648 is an abundant number, since it is smaller than the sum of its proper divisors (311148752).

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

122553648 is an equidigital number, since it uses as much as digits as its factorization.

122553648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 110 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 122553648 is about 11070.3951148999. The cubic root of 122553648 is about 496.7166842010.

It can be divided in two parts, 122553 and 648, that added together give a square (123201 = 351²).

The spelling of 122553648 in words is "one hundred twenty-two million, five hundred fifty-three thousand, six hundred forty-eight".