1000917260112 has 1280 divisors, whose sum is σ = 3631602991104. Its totient is φ = 231836774400.

The previous prime is 1000917260107. The next prime is 1000917260131. The reversal of 1000917260112 is 2110627190001.

It is a super-2 number, since 2×1000917260112² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1000917260112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13711195308 + ... + 13711195380.

Almost surely, 2^{1000917260112} is an apocalyptic number.

1000917260112 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 1000917260112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1815801495552).

1000917260112 is an abundant number, since it is smaller than the sum of its proper divisors (2630685730992).

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

1000917260112 is a wasteful number, since it uses less digits than its factorization.

1000917260112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 30.

The spelling of 1000917260112 in words is "one trillion, nine hundred seventeen million, two hundred sixty thousand, one hundred twelve".