12210182838000 has 2560 divisors, whose sum is σ = 54007209984000. Its totient is φ = 2607603840000.

The previous prime is 12210182837933. The next prime is 12210182838001. The reversal of 12210182838000 is 83828101221.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12210182838001) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 80862137925 + ... + 80862138075.

It is an arithmetic number, because the mean of its divisors is an integer number (21096566400).

Almost surely, 2^{12210182838000} is an apocalyptic number.

12210182838000 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 12210182838000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27003604992000).

12210182838000 is an abundant number, since it is smaller than the sum of its proper divisors (41797027146000).

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

12210182838000 is a wasteful number, since it uses less digits than its factorization.

12210182838000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 12210182838000 in words is "twelve trillion, two hundred ten billion, one hundred eighty-two million, eight hundred thirty-eight thousand".