120101430400 has 144 divisors (see below), whose sum is σ = 345127383090. Its totient is φ = 41177579520.

The previous prime is 120101430389. The next prime is 120101430419. The reversal of 120101430400 is 4034101021.

It can be written as a sum of positive squares in 3 ways, for example, as 68891550784 + 51209879616 = 262472^2 + 226296^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 226177 + ... + 539776.

Almost surely, 2^120101430400 is an apocalyptic number.

120101430400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120101430400 is an abundant number, since it is smaller than the sum of its proper divisors (225025952690).

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

120101430400 is an equidigital number, since it uses as much as digits as its factorization.

120101430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765991 (or 765967 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 120101430400 its reverse (4034101021), we get a palindrome (124135531421).

The spelling of 120101430400 in words is "one hundred twenty billion, one hundred one million, four hundred thirty thousand, four hundred".