1012080000000 has 352 divisors, whose sum is σ = 3372743709504. Its totient is φ = 269824000000.

The previous prime is 1012079999969. The next prime is 1012080000007. The reversal of 1012080000000 is 802101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012080000007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 239997892 + ... + 240002108.

Almost surely, 2^{1012080000000} is an apocalyptic number.

1012080000000 is a gapful number since it is divisible by the number (10) 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 1012080000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1686371854752).

1012080000000 is an abundant number, since it is smaller than the sum of its proper divisors (2360663709504).

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

1012080000000 is an frugal number, since it uses more digits than its factorization.

1012080000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4275 (or 4227 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1012080000000 its reverse (802101), we get a palindrome (1012080802101).

The spelling of 1012080000000 in words is "one trillion, twelve billion, eighty million", and thus it is an aban number and an uban number.