12285187299840 has 1920 divisors, whose sum is σ = 50495975050752. Its totient is φ = 2524824207360.

The previous prime is 12285187299823. The next prime is 12285187299851. The reversal of 12285187299840 is 4899278158221.

It is a tau number, because it is divible by the number of its divisors (1920).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39249799524 + ... + 39249799836.

Almost surely, 2^{12285187299840} is an apocalyptic number.

12285187299840 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 12285187299840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25247987525376).

12285187299840 is an abundant number, since it is smaller than the sum of its proper divisors (38210787750912).

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

12285187299840 is a wasteful number, since it uses less digits than its factorization.

12285187299840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 66.

The spelling of 12285187299840 in words is "twelve trillion, two hundred eighty-five billion, one hundred eighty-seven million, two hundred ninety-nine thousand, eight hundred forty".