12486214006200 has 480 divisors, whose sum is σ = 47556697605120. Its totient is φ = 3011104800000.

The previous prime is 12486214006187. The next prime is 12486214006213. The reversal of 12486214006200 is 260041268421.

12486214006200 is a `hidden beast` number, since 1 + 2 + 4 + 8 + 6 + 21 + 4 + 0 + 0 + 620 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12486214006187) and next prime (12486214006213).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 33852775 + ... + 34219625.

It is an arithmetic number, because the mean of its divisors is an integer number (99076453344).

Almost surely, 2^{12486214006200} is an apocalyptic number.

12486214006200 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 12486214006200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23778348802560).

12486214006200 is an abundant number, since it is smaller than the sum of its proper divisors (35070483598920).

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

12486214006200 is a wasteful number, since it uses less digits than its factorization.

12486214006200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367081 (or 367063 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 12486214006200 in words is "twelve trillion, four hundred eighty-six billion, two hundred fourteen million, six thousand, two hundred".