1000120132200 has 192 divisors, whose sum is σ = 3555807413760. Its totient is φ = 227790846720.

The previous prime is 1000120132199. The next prime is 1000120132223. The reversal of 1000120132200 is 22310210001.

1000120132200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 767887 + ... + 1609313.

It is an arithmetic number, because the mean of its divisors is an integer number (18519830280).

Almost surely, 2^{1000120132200} is an apocalyptic number.

1000120132200 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 1000120132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1777903706880).

1000120132200 is an abundant number, since it is smaller than the sum of its proper divisors (2555687281560).

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

1000120132200 is a wasteful number, since it uses less digits than its factorization.

1000120132200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841736 (or 841727 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1000120132200 its reverse (22310210001), we get a palindrome (1022430342201).

The spelling of 1000120132200 in words is "one trillion, one hundred twenty million, one hundred thirty-two thousand, two hundred".