2012345200 has 60 divisors (see below), whose sum is σ = 4843593760. Its totient is φ = 803450880.

The previous prime is 2012345197. The next prime is 2012345213. The reversal of 2012345200 is 25432102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 226441 + ... + 235159.

Almost surely, 2^2012345200 is an apocalyptic number.

2012345200 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 2012345200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2421796880).

2012345200 is an abundant number, since it is smaller than the sum of its proper divisors (2831248560).

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

2012345200 is a wasteful number, since it uses less digits than its factorization.

2012345200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9314 (or 9303 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 2012345200 is about 44859.1707457907. The cubic root of 2012345200 is about 1262.5080638638.

Adding to 2012345200 its reverse (25432102), we get a palindrome (2037777302).

The spelling of 2012345200 in words is "two billion, twelve million, three hundred forty-five thousand, two hundred".