120798161400 has 576 divisors, whose sum is σ = 465998611680. Its totient is φ = 25718784000.

The previous prime is 120798161377. The next prime is 120798161431. The reversal of 120798161400 is 4161897021.

120798161400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 50478604 + ... + 50480996.

Almost surely, 2^120798161400 is an apocalyptic number.

120798161400 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 120798161400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232999305840).

120798161400 is an abundant number, since it is smaller than the sum of its proper divisors (345200450280).

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

120798161400 is a wasteful number, since it uses less digits than its factorization.

120798161400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2544 (or 2528 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The spelling of 120798161400 in words is "one hundred twenty billion, seven hundred ninety-eight million, one hundred sixty-one thousand, four hundred".