120120400000 has 96 divisors (see below), whose sum is σ = 299109801060. Its totient is φ = 48048000000.

The previous prime is 120120399913. The next prime is 120120400007. The reversal of 120120400000 is 4021021.

It can be written as a sum of positive squares in 6 ways, for example, as 26381555776 + 93738844224 = 162424^2 + 306168^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 120120400000.

It is not an unprimeable number, because it can be changed into a prime (120120400007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 249850 + ... + 550150.

Almost surely, 2^120120400000 is an apocalyptic number.

120120400000 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 120120400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149554900530).

120120400000 is an abundant number, since it is smaller than the sum of its proper divisors (178989401060).

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

120120400000 is an frugal number, since it uses more digits than its factorization.

120120400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300340 (or 300308 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 120120400000 its reverse (4021021), we get a palindrome (120124421021).

The spelling of 120120400000 in words is "one hundred twenty billion, one hundred twenty million, four hundred thousand".