112001000 has 64 divisors (see below), whose sum is σ = 267770880. Its totient is φ = 43828800.

The previous prime is 112000963. The next prime is 112001011. The reversal of 112001000 is 100211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45809 + ... + 48191.

It is an arithmetic number, because the mean of its divisors is an integer number (4183920).

Almost surely, 2^112001000 is an apocalyptic number.

112001000 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 112001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133885440).

112001000 is an abundant number, since it is smaller than the sum of its proper divisors (155769880).

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

112001000 is a wasteful number, since it uses less digits than its factorization.

112001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2451 (or 2437 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

The square root of 112001000 is about 10583.0524897120. The cubic root of 112001000 is about 482.0298874393.

Adding to 112001000 its reverse (100211), we get a palindrome (112101211).

The spelling of 112001000 in words is "one hundred twelve million, one thousand".