122066080400 has 240 divisors, whose sum is σ = 326211496128. Its totient is φ = 43524096000.

The previous prime is 122066080379. The next prime is 122066080427. The reversal of 122066080400 is 4080660221.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48227135 + ... + 48229665.

Almost surely, 2^122066080400 is an apocalyptic number.

122066080400 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 122066080400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163105748064).

122066080400 is an abundant number, since it is smaller than the sum of its proper divisors (204145415728).

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

122066080400 is a wasteful number, since it uses less digits than its factorization.

122066080400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2770 (or 2759 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The spelling of 122066080400 in words is "one hundred twenty-two billion, sixty-six million, eighty thousand, four hundred".