122780697600 has 1056 divisors, whose sum is σ = 473703966720. Its totient is φ = 27754496000.

The previous prime is 122780697593. The next prime is 122780697619. The reversal of 122780697600 is 6796087221.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 122780697600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1379558356 + ... + 1379558444.

Almost surely, 2^122780697600 is an apocalyptic number.

122780697600 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 122780697600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236851983360).

122780697600 is an abundant number, since it is smaller than the sum of its proper divisors (350923269120).

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

122780697600 is a wasteful number, since it uses less digits than its factorization.

122780697600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 122780697600 in words is "one hundred twenty-two billion, seven hundred eighty million, six hundred ninety-seven thousand, six hundred".