122222819600 has 240 divisors, whose sum is σ = 351177999360. Its totient is φ = 39995596800.

The previous prime is 122222819501. The next prime is 122222819611. The reversal of 122222819600 is 6918222221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6326756 + ... + 6346044.

It is an arithmetic number, because the mean of its divisors is an integer number (1463241664).

Almost surely, 2^122222819600 is an apocalyptic number.

122222819600 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 122222819600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175588999680).

122222819600 is an abundant number, since it is smaller than the sum of its proper divisors (228955179760).

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

122222819600 is a wasteful number, since it uses less digits than its factorization.

122222819600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19418 (or 19407 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The spelling of 122222819600 in words is "one hundred twenty-two billion, two hundred twenty-two million, eight hundred nineteen thousand, six hundred".