122588778200 has 576 divisors, whose sum is σ = 365008200480. Its totient is φ = 38019072000.

The previous prime is 122588778181. The next prime is 122588778211. The reversal of 122588778200 is 2877885221.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 894808532 + ... + 894808668.

Almost surely, 2^122588778200 is an apocalyptic number.

122588778200 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 122588778200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182504100240).

122588778200 is an abundant number, since it is smaller than the sum of its proper divisors (242419422280).

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

122588778200 is a wasteful number, since it uses less digits than its factorization.

122588778200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 1003520, while the sum is 50.

The spelling of 122588778200 in words is "one hundred twenty-two billion, five hundred eighty-eight million, seven hundred seventy-eight thousand, two hundred".