2130112000 has 160 divisors (see below), whose sum is σ = 5388967584. Its totient is φ = 839680000.

The previous prime is 2130111979. The next prime is 2130112001. The reversal of 2130112000 is 2110312.

It is a tau number, because it is divible by the number of its divisors (160).

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 (2130112001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5311800 + ... + 5312200.

Almost surely, 2^2130112000 is an apocalyptic number.

2130112000 is a gapful number since it is divisible by the number (20) 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 2130112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2694483792).

2130112000 is an abundant number, since it is smaller than the sum of its proper divisors (3258855584).

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

2130112000 is an frugal number, since it uses more digits than its factorization.

2130112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 2130112000 is about 46153.1364047992. The cubic root of 2130112000 is about 1286.6709024115.

Adding to 2130112000 its reverse (2110312), we get a palindrome (2132222312).

The spelling of 2130112000 in words is "two billion, one hundred thirty million, one hundred twelve thousand".