122553520000 has 320 divisors, whose sum is σ = 313167254400. Its totient is φ = 47745792000.

The previous prime is 122553519931. The next prime is 122553520003. The reversal of 122553520000 is 25355221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122553520003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 881679931 + ... + 881680069.

It is an arithmetic number, because the mean of its divisors is an integer number (978647670).

Almost surely, 2^122553520000 is an apocalyptic number.

122553520000 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 122553520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156583627200).

122553520000 is an abundant number, since it is smaller than the sum of its proper divisors (190613734400).

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

122553520000 is a wasteful number, since it uses less digits than its factorization.

122553520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 356 counting only the distinct ones).

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

Adding to 122553520000 its reverse (25355221), we get a palindrome (122578875221).

The spelling of 122553520000 in words is "one hundred twenty-two billion, five hundred fifty-three million, five hundred twenty thousand".