122553557560 has 256 divisors, whose sum is σ = 343240934400. Its totient is φ = 38444544000.

The previous prime is 122553557537. The next prime is 122553557593. The reversal of 122553557560 is 65755355221.

It is a super-3 number, since 3×122553557560³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 122553557560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22027339 + ... + 22032901.

It is an arithmetic number, because the mean of its divisors is an integer number (1340784900).

Almost surely, 2^122553557560 is an apocalyptic number.

122553557560 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 122553557560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171620467200).

122553557560 is an abundant number, since it is smaller than the sum of its proper divisors (220687376840).

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

122553557560 is a wasteful number, since it uses less digits than its factorization.

122553557560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5742 (or 5738 counting only the distinct ones).

The product of its (nonzero) digits is 1575000, while the sum is 46.

The spelling of 122553557560 in words is "one hundred twenty-two billion, five hundred fifty-three million, five hundred fifty-seven thousand, five hundred sixty".