1038882992112 has 800 divisors, whose sum is σ = 3713252336640. Its totient is φ = 273988915200.

The previous prime is 1038882992111. The next prime is 1038882992209. The reversal of 1038882992112 is 2112992888301.

1038882992112 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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1038882992111) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 798525862 + ... + 798527162.

Almost surely, 2^{1038882992112} is an apocalyptic number.

1038882992112 is a gapful number since it is divisible by the number (12) 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 1038882992112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1856626168320).

1038882992112 is an abundant number, since it is smaller than the sum of its proper divisors (2674369344528).

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

1038882992112 is a wasteful number, since it uses less digits than its factorization.

1038882992112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1483 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The spelling of 1038882992112 in words is "one trillion, thirty-eight billion, eight hundred eighty-two million, nine hundred ninety-two thousand, one hundred twelve".