122446451400 has 384 divisors, whose sum is σ = 468577509120. Its totient is φ = 25757614080.

The previous prime is 122446451389. The next prime is 122446451417. The reversal of 122446451400 is 4154644221.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 19270624 + ... + 19276976.

It is an arithmetic number, because the mean of its divisors is an integer number (1220253930).

Almost surely, 2^122446451400 is an apocalyptic number.

122446451400 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 122446451400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234288754560).

122446451400 is an abundant number, since it is smaller than the sum of its proper divisors (346131057720).

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

122446451400 is a wasteful number, since it uses less digits than its factorization.

122446451400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6745 (or 6736 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The spelling of 122446451400 in words is "one hundred twenty-two billion, four hundred forty-six million, four hundred fifty-one thousand, four hundred".