12436228860000 has 960 divisors, whose sum is σ = 45427673491200. Its totient is φ = 2952524800000.

The previous prime is 12436228859983. The next prime is 12436228860017. The reversal of 12436228860000 is 6882263421.

It is an interprime number because it is at equal distance from previous prime (12436228859983) and next prime (12436228860017).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 15147659590 + ... + 15147660410.

It is an arithmetic number, because the mean of its divisors is an integer number (47320493220).

Almost surely, 2^{12436228860000} is an apocalyptic number.

12436228860000 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 12436228860000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22713836745600).

12436228860000 is an abundant number, since it is smaller than the sum of its proper divisors (32991444631200).

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

12436228860000 is a wasteful number, since it uses less digits than its factorization.

12436228860000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 12436228860000 in words is "twelve trillion, four hundred thirty-six billion, two hundred twenty-eight million, eight hundred sixty thousand".