12361237761600 has 3528 divisors, whose sum is σ = 58019284528128. Its totient is φ = 2567796940800.

The previous prime is 12361237761557. The next prime is 12361237761601. The reversal of 12361237761600 is 616773216321.

12361237761600 is a `hidden beast` number, since 1 + 2 + 3 + 6 + 1 + 2 + 37 + 7 + 6 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (3528).

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

It is not an unprimeable number, because it can be changed into a prime (12361237761601) by changing a digit.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 94360593535 + ... + 94360593665.

Almost surely, 2^{12361237761600} is an apocalyptic number.

12361237761600 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 12361237761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29009642264064).

12361237761600 is an abundant number, since it is smaller than the sum of its proper divisors (45658046766528).

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

12361237761600 is a wasteful number, since it uses less digits than its factorization.

12361237761600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 12361237761600 in words is "twelve trillion, three hundred sixty-one billion, two hundred thirty-seven million, seven hundred sixty-one thousand, six hundred".