12441306780 has 720 divisors, whose sum is σ = 48873797280. Its totient is φ = 2633637888.

The previous prime is 12441306767. The next prime is 12441306797. The reversal of 12441306780 is 8760314421.

It is a super-2 number, since 2×12441306780² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 110100004 + ... + 110100116.

It is an arithmetic number, because the mean of its divisors is an integer number (67880274).

Almost surely, 2^12441306780 is an apocalyptic number.

12441306780 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 12441306780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24436898640).

12441306780 is an abundant number, since it is smaller than the sum of its proper divisors (36432490500).

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

12441306780 is a wasteful number, since it uses less digits than its factorization.

12441306780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 12441306780 in words is "twelve billion, four hundred forty-one million, three hundred six thousand, seven hundred eighty".