1012132812600 has 576 divisors, whose sum is σ = 4197959438400. Its totient is φ = 212809973760.

The previous prime is 1012132812599. The next prime is 1012132812611. The reversal of 1012132812600 is 62182312101.

1012132812600 is a `hidden beast` number, since 1 + 0 + 1 + 21 + 3 + 28 + 12 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 47982856 + ... + 48003944.

It is an arithmetic number, because the mean of its divisors is an integer number (7288124025).

Almost surely, 2^{1012132812600} is an apocalyptic number.

1012132812600 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 1012132812600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2098979719200).

1012132812600 is an abundant number, since it is smaller than the sum of its proper divisors (3185826625800).

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

1012132812600 is a wasteful number, since it uses less digits than its factorization.

1012132812600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21424 (or 21412 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 1012132812600 in words is "one trillion, twelve billion, one hundred thirty-two million, eight hundred twelve thousand, six hundred".