2114112000 has 960 divisors, whose sum is σ = 9508891392. Its totient is φ = 405504000.

The previous prime is 2114111971. The next prime is 2114112019. The reversal of 2114112000 is 2114112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 162623994 + ... + 162624006.

Almost surely, 2^2114112000 is an apocalyptic number.

2114112000 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 2114112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4754445696).

2114112000 is an abundant number, since it is smaller than the sum of its proper divisors (7394779392).

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

2114112000 is a wasteful number, since it uses less digits than its factorization.

2114112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 2114112000 is about 45979.4736811982. The cubic root of 2114112000 is about 1283.4412607644.

Adding to 2114112000 its reverse (2114112), we get a palindrome (2116226112).

2114112000 divided by its reverse (2114112) gives a cube (1000 = 10³).

The spelling of 2114112000 in words is "two billion, one hundred fourteen million, one hundred twelve thousand".