2012018000000 has 504 divisors, whose sum is σ = 5414133530235. Its totient is φ = 744627200000.

The previous prime is 2012017999991. The next prime is 2012018000011. The reversal of 2012018000000 is 8102102.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 11 ways, for example, as 1265121050176 + 746896949824 = 1124776^2 + 864232^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1003000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 34101999971 + ... + 34102000029.

Almost surely, 2^{2012018000000} is an apocalyptic number.

2012018000000 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 2012018000000

2012018000000 is an abundant number, since it is smaller than the sum of its proper divisors (3402115530235).

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

2012018000000 is an frugal number, since it uses more digits than its factorization.

2012018000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Multiplying 2012018000000 by its product of nonzero digits (32), we get a square (64384576000000 = 8024000²).

2012018000000 divided by its product of nonzero digits (32) gives a square (62875562500 = 250750²).

The spelling of 2012018000000 in words is "two trillion, twelve billion, eighteen million", and thus it is an aban number and an uban number.