2012130000000 has 768 divisors, whose sum is σ = 7355137420800. Its totient is φ = 527904000000.

The previous prime is 2012129999981. The next prime is 2012130000007. The reversal of 2012130000000 is 312102.

It is a happy number.

It is a super-3 number, since 3×2012130000000³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012130000007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7109999859 + ... + 7110000141.

It is an arithmetic number, because the mean of its divisors is an integer number (9577001850).

Almost surely, 2^{2012130000000} is an apocalyptic number.

2012130000000 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 2012130000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3677568710400).

2012130000000 is an abundant number, since it is smaller than the sum of its proper divisors (5343007420800).

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

2012130000000 is an frugal number, since it uses more digits than its factorization.

2012130000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 2012130000000 its reverse (312102), we get a palindrome (2012130312102).

The spelling of 2012130000000 in words is "two trillion, twelve billion, one hundred thirty million", and thus it is an aban number.