12812910240 has 192 divisors, whose sum is σ = 43529705856. Its totient is φ = 3149279232.

The previous prime is 12812910233. The next prime is 12812910247. The reversal of 12812910240 is 4201921821.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12812910233) and next prime (12812910247).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12812910198 and 12812910207.

It is not an unprimeable number, because it can be changed into a prime (12812910247) 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, 6320107 + ... + 6322133.

It is an arithmetic number, because the mean of its divisors is an integer number (226717218).

Almost surely, 2^12812910240 is an apocalyptic number.

12812910240 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 12812910240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21764852928).

12812910240 is an abundant number, since it is smaller than the sum of its proper divisors (30716795616).

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

12812910240 is a wasteful number, since it uses less digits than its factorization.

12812910240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3071 (or 3063 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The spelling of 12812910240 in words is "twelve billion, eight hundred twelve million, nine hundred ten thousand, two hundred forty".