1012506982200 has 720 divisors, whose sum is σ = 4114216022280. Its totient is φ = 231403495680.

The previous prime is 1012506982189. The next prime is 1012506982217. The reversal of 1012506982200 is 22896052101.

It is a super-2 number, since 2×1012506982200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 116684262 + ... + 116692938.

Almost surely, 2^{1012506982200} is an apocalyptic number.

1012506982200 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 1012506982200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2057108011140).

1012506982200 is an abundant number, since it is smaller than the sum of its proper divisors (3101709040080).

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

1012506982200 is an frugal number, since it uses more digits than its factorization.

1012506982200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8736 (or 8694 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 1012506982200 in words is "one trillion, twelve billion, five hundred six million, nine hundred eighty-two thousand, two hundred".