2012302200000 has 336 divisors, whose sum is σ = 6944233040640. Its totient is φ = 513279360000.

The previous prime is 2012302199993. The next prime is 2012302200049. The reversal of 2012302200000 is 22032102.

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 47 ways as a sum of consecutive naturals, for example, 13727091 + ... + 13872909.

It is an arithmetic number, because the mean of its divisors is an integer number (20667360240).

Almost surely, 2^{2012302200000} is an apocalyptic number.

2012302200000 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 2012302200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3472116520320).

2012302200000 is an abundant number, since it is smaller than the sum of its proper divisors (4931930840640).

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

2012302200000 is an equidigital number, since it uses as much as digits as its factorization.

2012302200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145882 (or 145852 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 2012302200000 its reverse (22032102), we get a palindrome (2012324232102).

The spelling of 2012302200000 in words is "two trillion, twelve billion, three hundred two million, two hundred thousand".