120310432004400 has 480 divisors, whose sum is σ = 421369475770368. Its totient is φ = 29101071974400.

The previous prime is 120310432004387. The next prime is 120310432004417. The reversal of 120310432004400 is 4400234013021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17858157832 + ... + 17858164568.

Almost surely, 2^{120310432004400} is an apocalyptic number.

120310432004400 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 120310432004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210684737885184).

120310432004400 is an abundant number, since it is smaller than the sum of its proper divisors (301059043765968).

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

120310432004400 is a wasteful number, since it uses less digits than its factorization.

120310432004400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9589 (or 9578 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 120310432004400 its reverse (4400234013021), we get a palindrome (124710666017421).

The spelling of 120310432004400 in words is "one hundred twenty trillion, three hundred ten billion, four hundred thirty-two million, four thousand, four hundred".