120200013000 has 576 divisors, whose sum is σ = 443599650000. Its totient is φ = 29328998400.

The previous prime is 120200012939. The next prime is 120200013001. The reversal of 120200013000 is 310002021.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 1964439684 + 118235573316 = 44322^2 + 343854^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (120200013001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 96236376 + ... + 96237624.

Almost surely, 2^120200013000 is an apocalyptic number.

120200013000 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 120200013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221799825000).

120200013000 is an abundant number, since it is smaller than the sum of its proper divisors (323399637000).

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

120200013000 is a wasteful number, since it uses less digits than its factorization.

120200013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 120200013000 its reverse (310002021), we get a palindrome (120510015021).

The spelling of 120200013000 in words is "one hundred twenty billion, two hundred million, thirteen thousand".