12812181107440 has 80 divisors (see below), whose sum is σ = 34996069545696. Its totient is φ = 4300592256000.

The previous prime is 12812181107423. The next prime is 12812181107461. The reversal of 12812181107440 is 4470118121821.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 12812181107393 and 12812181107402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 559961511 + ... + 559984390.

Almost surely, 2^{12812181107440} is an apocalyptic number.

12812181107440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12812181107440 is an abundant number, since it is smaller than the sum of its proper divisors (22183888438256).

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

12812181107440 is a wasteful number, since it uses less digits than its factorization.

12812181107440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119945938 (or 1119945932 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 40.

The spelling of 12812181107440 in words is "twelve trillion, eight hundred twelve billion, one hundred eighty-one million, one hundred seven thousand, four hundred forty".