122073806400 has 1344 divisors, whose sum is σ = 533365862400. Its totient is φ = 23730094080.

The previous prime is 122073806399. The next prime is 122073806419. The reversal of 122073806400 is 4608370221.

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 291345391 + ... + 291345809.

It is an arithmetic number, because the mean of its divisors is an integer number (396849600).

Almost surely, 2^122073806400 is an apocalyptic number.

122073806400 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 122073806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266682931200).

122073806400 is an abundant number, since it is smaller than the sum of its proper divisors (411292056000).

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

122073806400 is a wasteful number, since it uses less digits than its factorization.

122073806400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 122073806400 in words is "one hundred twenty-two billion, seventy-three million, eight hundred six thousand, four hundred".