2012382900 has 144 divisors (see below), whose sum is σ = 7057673280. Its totient is φ = 487843200.

The previous prime is 2012382847. The next prime is 2012382901. The reversal of 2012382900 is 92832102.

It is a happy number.

It is a super-3 number, since 3×2012382900³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012382901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4179 + ... + 63578.

It is an arithmetic number, because the mean of its divisors is an integer number (49011620).

Almost surely, 2^2012382900 is an apocalyptic number.

2012382900 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 2012382900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3528836640).

2012382900 is an abundant number, since it is smaller than the sum of its proper divisors (5045290380).

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

2012382900 is a wasteful number, since it uses less digits than its factorization.

2012382900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67791 (or 67778 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2012382900 is about 44859.5909477561. The cubic root of 2012382900 is about 1262.5159479082.

The spelling of 2012382900 in words is "two billion, twelve million, three hundred eighty-two thousand, nine hundred".