1031112000 has 168 divisors, whose sum is σ = 3688717032. Its totient is φ = 274944000.

The previous prime is 1031111981. The next prime is 1031112031. The reversal of 1031112000 is 2111301.

It can be written as a sum of positive squares in 4 ways, for example, as 283855104 + 747256896 = 16848^2 + 27336^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64840 + ... + 79160.

It is an arithmetic number, because the mean of its divisors is an integer number (21956649).

Almost surely, 2^1031112000 is an apocalyptic number.

1031112000 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 1031112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1844358516).

1031112000 is an abundant number, since it is smaller than the sum of its proper divisors (2657605032).

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

1031112000 is a wasteful number, since it uses less digits than its factorization.

1031112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14354 (or 14331 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1031112000 is about 32110.9327176898. The cubic root of 1031112000 is about 1010.2649371959.

Adding to 1031112000 its reverse (2111301), we get a palindrome (1033223301).

It can be divided in two parts, 103111 and 2000, that added together give a triangular number (105111 = T₄₅₈).

The spelling of 1031112000 in words is "one billion, thirty-one million, one hundred twelve thousand".