2112132000 has 192 divisors, whose sum is σ = 7548847488. Its totient is φ = 512000000.

The previous prime is 2112131993. The next prime is 2112132023. The reversal of 2112132000 is 2312112.

2112132000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2112132000² = 8922203170848000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124000 + ... + 140000.

It is an arithmetic number, because the mean of its divisors is an integer number (39316914).

Almost surely, 2^2112132000 is an apocalyptic number.

2112132000 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 2112132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3774423744).

2112132000 is an abundant number, since it is smaller than the sum of its proper divisors (5436715488).

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

2112132000 is a wasteful number, since it uses less digits than its factorization.

2112132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16040 (or 16022 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2112132000 is about 45957.9372905269. The cubic root of 2112132000 is about 1283.0404608942.

Adding to 2112132000 its reverse (2312112), we get a palindrome (2114444112).

The spelling of 2112132000 in words is "two billion, one hundred twelve million, one hundred thirty-two thousand".