120223214400 has 336 divisors, whose sum is σ = 422247974400. Its totient is φ = 29856061440.

The previous prime is 120223214399. The next prime is 120223214431. The reversal of 120223214400 is 4412322021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5369629 + ... + 5391971.

It is an arithmetic number, because the mean of its divisors is an integer number (1256690400).

Almost surely, 2^120223214400 is an apocalyptic number.

120223214400 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 120223214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211123987200).

120223214400 is an abundant number, since it is smaller than the sum of its proper divisors (302024760000).

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

120223214400 is a wasteful number, since it uses less digits than its factorization.

120223214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22446 (or 22431 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 120223214400 its reverse (4412322021), we get a palindrome (124635536421).

The spelling of 120223214400 in words is "one hundred twenty billion, two hundred twenty-three million, two hundred fourteen thousand, four hundred".