122427494100 has 432 divisors, whose sum is σ = 421913995776. Its totient is φ = 29569536000.

The previous prime is 122427494051. The next prime is 122427494129. The reversal of 122427494100 is 1494724221.

It is a happy number.

122427494100 is a `hidden beast` number, since 1 + 22 + 42 + 7 + 494 + 100 = 666.

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

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, 43863705 + ... + 43866495.

It is an arithmetic number, because the mean of its divisors is an integer number (976652768).

Almost surely, 2^122427494100 is an apocalyptic number.

122427494100 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 122427494100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210956997888).

122427494100 is an abundant number, since it is smaller than the sum of its proper divisors (299486501676).

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

122427494100 is a wasteful number, since it uses less digits than its factorization.

122427494100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2936 (or 2926 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 122427494100 in words is "one hundred twenty-two billion, four hundred twenty-seven million, four hundred ninety-four thousand, one hundred".