1000027712412 has 144 divisors (see below), whose sum is σ = 2600743541760. Its totient is φ = 323862948864.

The previous prime is 1000027712399. The next prime is 1000027712413. The reversal of 1000027712412 is 2142177200001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000027712413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137874178 + ... + 137881430.

It is an arithmetic number, because the mean of its divisors is an integer number (18060719040).

Almost surely, 2^{1000027712412} is an apocalyptic number.

1000027712412 is a gapful number since it is divisible by the number (12) 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 1000027712412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300371770880).

1000027712412 is an abundant number, since it is smaller than the sum of its proper divisors (1600715829348).

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

1000027712412 is a wasteful number, since it uses less digits than its factorization.

1000027712412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8012 (or 8007 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The spelling of 1000027712412 in words is "one trillion, twenty-seven million, seven hundred twelve thousand, four hundred twelve".