112011031000 has 192 divisors, whose sum is σ = 288971504640. Its totient is φ = 40608128000.

The previous prime is 112011030997. The next prime is 112011031003. The reversal of 112011031000 is 130110211.

It is an interprime number because it is at equal distance from previous prime (112011030997) and next prime (112011031003).

It is a super-2 number, since 2×112011031000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112011031003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46341792 + ... + 46344208.

It is an arithmetic number, because the mean of its divisors is an integer number (1505059920).

Almost surely, 2^112011031000 is an apocalyptic number.

112011031000 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 112011031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144485752320).

112011031000 is an abundant number, since it is smaller than the sum of its proper divisors (176960473640).

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

112011031000 is a wasteful number, since it uses less digits than its factorization.

112011031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2843 (or 2818 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 112011031000 its reverse (130110211), we get a palindrome (112141141211).

The spelling of 112011031000 in words is "one hundred twelve billion, eleven million, thirty-one thousand".