1012892802120 has 384 divisors, whose sum is σ = 3498280531200. Its totient is φ = 253454303232.

The previous prime is 1012892802107. The next prime is 1012892802149. The reversal of 1012892802120 is 212082982101.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 357532224 + ... + 357535056.

It is an arithmetic number, because the mean of its divisors is an integer number (9110105550).

Almost surely, 2^{1012892802120} is an apocalyptic number.

1012892802120 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 1012892802120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749140265600).

1012892802120 is an abundant number, since it is smaller than the sum of its proper divisors (2485387729080).

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

1012892802120 is a wasteful number, since it uses less digits than its factorization.

1012892802120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3349 (or 3342 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 1012892802120 in words is "one trillion, twelve billion, eight hundred ninety-two million, eight hundred two thousand, one hundred twenty".