12381777360 has 240 divisors, whose sum is σ = 43127931600. Its totient is φ = 3179667456.

The previous prime is 12381777313. The next prime is 12381777407. The reversal of 12381777360 is 6377718321.

It is an interprime number because it is at equal distance from previous prime (12381777313) and next prime (12381777407).

It can be written as a sum of positive squares in 8 ways, for example, as 2599776144 + 9782001216 = 50988^2 + 98904^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15304636 + ... + 15305444.

It is an arithmetic number, because the mean of its divisors is an integer number (179699715).

Almost surely, 2^12381777360 is an apocalyptic number.

12381777360 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 12381777360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21563965800).

12381777360 is an abundant number, since it is smaller than the sum of its proper divisors (30746154240).

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

12381777360 is a wasteful number, since it uses less digits than its factorization.

12381777360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 12381777360 in words is "twelve billion, three hundred eighty-one million, seven hundred seventy-seven thousand, three hundred sixty".