12261700284288 has 1152 divisors, whose sum is σ = 42653810995200. Its totient is φ = 3107119841280.

The previous prime is 12261700284269. The next prime is 12261700284289. The reversal of 12261700284288 is 88248200716221.

It is a super-3 number, since 3×12261700284288³ (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12261700284288.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12261700284289) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17053824793 + ... + 17053825511.

It is an arithmetic number, because the mean of its divisors is an integer number (37025877600).

Almost surely, 2^{12261700284288} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12261700284288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21326905497600).

12261700284288 is an abundant number, since it is smaller than the sum of its proper divisors (30392110710912).

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

12261700284288 is a wasteful number, since it uses less digits than its factorization.

12261700284288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 51.

The spelling of 12261700284288 in words is "twelve trillion, two hundred sixty-one billion, seven hundred million, two hundred eighty-four thousand, two hundred eighty-eight".