12291334810000 has 75 divisors (see below), whose sum is σ = 29759399546151. Its totient is φ = 4916393688000.

The previous prime is 12291334809989. The next prime is 12291334810003. The reversal of 12291334810000 is 1843319221.

It is a happy number.

The square root of 12291334810000 is 3505900.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 963640649104 + 11327694160896 = 981652^2 + 3365664^2 .

It is a super-2 number, since 2×12291334810000² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12291334810003) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 350572471 + ... + 350607529.

Almost surely, 2^{12291334810000} is an apocalyptic number.

12291334810000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12291334810000 is the 3505900-th square number.

It is an amenable number.

12291334810000 is an abundant number, since it is smaller than the sum of its proper divisors (17468064736151).

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

12291334810000 is an frugal number, since it uses more digits than its factorization.

12291334810000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70146 (or 35066 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The spelling of 12291334810000 in words is "twelve trillion, two hundred ninety-one billion, three hundred thirty-four million, eight hundred ten thousand".