2145112200 has 864 divisors, whose sum is σ = 9588448800. Its totient is φ = 439084800.

The previous prime is 2145112187. The next prime is 2145112213. The reversal of 2145112200 is 22115412.

2145112200 is a `hidden beast` number, since 2 + 1 + 451 + 12 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (2145112187) and next prime (2145112213).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 32016567 + ... + 32016633.

Almost surely, 2^2145112200 is an apocalyptic number.

2145112200 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 2145112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4794224400).

2145112200 is an abundant number, since it is smaller than the sum of its proper divisors (7443336600).

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

2145112200 is a wasteful number, since it uses less digits than its factorization.

2145112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 2145112200 is about 46315.3559848135. The cubic root of 2145112200 is about 1289.6840762324.

Adding to 2145112200 its reverse (22115412), we get a palindrome (2167227612).

The spelling of 2145112200 in words is "two billion, one hundred forty-five million, one hundred twelve thousand, two hundred".