2012134300000 has 288 divisors, whose sum is σ = 5636469742848. Its totient is φ = 699864000000.

The previous prime is 2012134299983. The next prime is 2012134300021. The reversal of 2012134300000 is 34312102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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, 25260235 + ... + 25339765.

It is an arithmetic number, because the mean of its divisors is an integer number (19571075496).

Almost surely, 2^{2012134300000} is an apocalyptic number.

2012134300000 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 2012134300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2818234871424).

2012134300000 is an abundant number, since it is smaller than the sum of its proper divisors (3624335442848).

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

2012134300000 is an equidigital number, since it uses as much as digits as its factorization.

2012134300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79600 (or 79572 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 2012134300000 its reverse (34312102), we get a palindrome (2012168612102).

The spelling of 2012134300000 in words is "two trillion, twelve billion, one hundred thirty-four million, three hundred thousand".