12076867209440 has 96 divisors (see below), whose sum is σ = 31134462591456. Its totient is φ = 4390306652160.

The previous prime is 12076867209431. The next prime is 12076867209457. The reversal of 12076867209440 is 4490276867021.

It is a happy number.

It is a super-2 number, since 2×12076867209440² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5042684 + ... + 7041476.

It is an arithmetic number, because the mean of its divisors is an integer number (324317318661).

Almost surely, 2^{12076867209440} is an apocalyptic number.

12076867209440 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 12076867209440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15567231295728).

12076867209440 is an abundant number, since it is smaller than the sum of its proper divisors (19057595382016).

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

12076867209440 is a wasteful number, since it uses less digits than its factorization.

12076867209440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2002252 (or 2002244 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 56.

The spelling of 12076867209440 in words is "twelve trillion, seventy-six billion, eight hundred sixty-seven million, two hundred nine thousand, four hundred forty".