112131000 has 128 divisors (see below), whose sum is σ = 388814400. Its totient is φ = 29894400.

The previous prime is 112130983. The next prime is 112131001. The reversal of 112131000 is 131211.

It is a super-2 number, since 2×112131000² = 25146722322000000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112131001) 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, 24924 + ... + 29076.

Almost surely, 2^112131000 is an apocalyptic number.

112131000 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 112131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194407200).

112131000 is an abundant number, since it is smaller than the sum of its proper divisors (276683400).

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

112131000 is a wasteful number, since it uses less digits than its factorization.

112131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4183 (or 4163 counting only the distinct ones).

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

The square root of 112131000 is about 10589.1926037824. The cubic root of 112131000 is about 482.2163133231.

Adding to 112131000 its reverse (131211), we get a palindrome (112262211).

The spelling of 112131000 in words is "one hundred twelve million, one hundred thirty-one thousand".