1070987267112 has 128 divisors (see below), whose sum is σ = 3068359176960. Its totient is φ = 305157611520.

The previous prime is 1070987267057. The next prime is 1070987267113. The reversal of 1070987267112 is 2117627890701.

1070987267112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1070987267112² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1070987267113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200819998 + ... + 200825330.

It is an arithmetic number, because the mean of its divisors is an integer number (23971556070).

Almost surely, 2^{1070987267112} is an apocalyptic number.

1070987267112 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 1070987267112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534179588480).

1070987267112 is an abundant number, since it is smaller than the sum of its proper divisors (1997371909848).

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

1070987267112 is a wasteful number, since it uses less digits than its factorization.

1070987267112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8403 (or 8399 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 51.

The spelling of 1070987267112 in words is "one trillion, seventy billion, nine hundred eighty-seven million, two hundred sixty-seven thousand, one hundred twelve".