120204422400 has 216 divisors, whose sum is σ = 397359192384. Its totient is φ = 32001228800.

The previous prime is 120204422383. The next prime is 120204422449. The reversal of 120204422400 is 4224402021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12302317 + ... + 12312083.

Almost surely, 2^120204422400 is an apocalyptic number.

120204422400 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 120204422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198679596192).

120204422400 is an abundant number, since it is smaller than the sum of its proper divisors (277154769984).

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

120204422400 is an equidigital number, since it uses as much as digits as its factorization.

120204422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10437 (or 10418 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 120204422400 its reverse (4224402021), we get a palindrome (124428824421).

The spelling of 120204422400 in words is "one hundred twenty billion, two hundred four million, four hundred twenty-two thousand, four hundred".