12284245720 has 128 divisors (see below), whose sum is σ = 29963520000. Its totient is φ = 4518581760.

The previous prime is 12284245661. The next prime is 12284245759. The reversal of 12284245720 is 2754248221.

It is a self number, because there is not a number n which added to its sum of digits gives 12284245720.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7229431 + ... + 7231129.

It is an arithmetic number, because the mean of its divisors is an integer number (234090000).

Almost surely, 2^12284245720 is an apocalyptic number.

12284245720 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 12284245720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14981760000).

12284245720 is an abundant number, since it is smaller than the sum of its proper divisors (17679274280).

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

12284245720 is a wasteful number, since it uses less digits than its factorization.

12284245720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2033 (or 2029 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 37.

The spelling of 12284245720 in words is "twelve billion, two hundred eighty-four million, two hundred forty-five thousand, seven hundred twenty".