122779800 has 480 divisors, whose sum is σ = 510436080. Its totient is φ = 26956800.

The previous prime is 122779781. The next prime is 122779807. The reversal of 122779800 is 8977221.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122779807) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 2316574 + ... + 2316626.

Almost surely, 2^122779800 is an apocalyptic number.

122779800 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 122779800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255218040).

122779800 is an abundant number, since it is smaller than the sum of its proper divisors (387656280).

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

122779800 is a wasteful number, since it uses less digits than its factorization.

122779800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 122779800 is about 11080.6046766411. The cubic root of 122779800 is about 497.0220319587.

The spelling of 122779800 in words is "one hundred twenty-two million, seven hundred seventy-nine thousand, eight hundred".