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1000000000000 = 212512

1000000000000 has 169 divisors, whose sum is σ = 2499694822171. Its totient is φ = 400000000000.

The previous prime is 999999999989. The next prime is 1000000000039. The reversal of 1000000000000 is 1.

It is a happy number.

The square root of 1000000000000 is 1000000.

The cubic root of 1000000000000 is 10000.

It is a perfect power (a square, a cube, a biquadrate, a 6-th power, a 12-th power), and thus also a powerful number.

It can be written as a sum of positive squares in 6 ways, for example, as 565792804864 + 434207195136 = 752192^2 + 658944^2 .

It is a Harshad number since it is a multiple of its sum of digits (1).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a Duffinian number.

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 999999999896 and 999999999905.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 12 ways as a sum of consecutive naturals, for example, 199999999998 + ... + 200000000002.

Almost surely, 21000000000000 is an apocalyptic number.

1000000000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1000000000000 is the 1000000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000000000000

1000000000000 is an abundant number, since it is smaller than the sum of its proper divisors (1499694822171).

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

1000000000000 is an frugal number, since it uses more digits than its factorization.

1000000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 1.

The spelling of 1000000000000 in words is "one trillion", and thus it is an aban number and an uban number.