120001307200 has 42 divisors (see below), whose sum is σ = 295278220466. Its totient is φ = 48000522240.

The previous prime is 120001307189. The next prime is 120001307227. The reversal of 120001307200 is 2703100021.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 8263537216 + 111737769984 = 90904^2 + 334272^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 37498809 + ... + 37502008.

Almost surely, 2^120001307200 is an apocalyptic number.

120001307200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120001307200 is an abundant number, since it is smaller than the sum of its proper divisors (175276913266).

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

120001307200 is an equidigital number, since it uses as much as digits as its factorization.

120001307200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75000839 (or 75000824 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

Adding to 120001307200 its reverse (2703100021), we get a palindrome (122704407221).

The spelling of 120001307200 in words is "one hundred twenty billion, one million, three hundred seven thousand, two hundred".