122553520 has 80 divisors (see below), whose sum is σ = 292481280. Its totient is φ = 47745792.

The previous prime is 122553491. The next prime is 122553539. The reversal of 122553520 is 25355221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 881611 + ... + 881749.

It is an arithmetic number, because the mean of its divisors is an integer number (3656016).

Almost surely, 2^122553520 is an apocalyptic number.

122553520 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 122553520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146240640).

122553520 is an abundant number, since it is smaller than the sum of its proper divisors (169927760).

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

122553520 is a wasteful number, since it uses less digits than its factorization.

122553520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 122553520 is about 11070.3893337136. The cubic root of 122553520 is about 496.7165112706.

It can be divided in two parts, 1225 and 53520, that added together give a palindrome (54745).

The spelling of 122553520 in words is "one hundred twenty-two million, five hundred fifty-three thousand, five hundred twenty".