12135684390 has 128 divisors (see below), whose sum is σ = 31132090368. Its totient is φ = 3022064640.

The previous prime is 12135684371. The next prime is 12135684401. The reversal of 12135684390 is 9348653121.

It is a super-2 number, since 2×12135684390² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 4368682 + ... + 4371458.

It is an arithmetic number, because the mean of its divisors is an integer number (243219456).

Almost surely, 2^12135684390 is an apocalyptic number.

12135684390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12135684390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15566045184).

12135684390 is an abundant number, since it is smaller than the sum of its proper divisors (18996405978).

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

12135684390 is a wasteful number, since it uses less digits than its factorization.

12135684390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2982.

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 12135684390 in words is "twelve billion, one hundred thirty-five million, six hundred eighty-four thousand, three hundred ninety".