12304251221340 has 384 divisors, whose sum is σ = 37802051481600. Its totient is φ = 2972127375360.

The previous prime is 12304251221329. The next prime is 12304251221357. The reversal of 12304251221340 is 4312215240321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12304251221298 and 12304251221307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10956590019 + ... + 10956591141.

It is an arithmetic number, because the mean of its divisors is an integer number (98442842400).

Almost surely, 2^{12304251221340} is an apocalyptic number.

12304251221340 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 12304251221340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18901025740800).

12304251221340 is an abundant number, since it is smaller than the sum of its proper divisors (25497800260260).

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

12304251221340 is a wasteful number, since it uses less digits than its factorization.

12304251221340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157 (or 2155 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 12304251221340 its reverse (4312215240321), we get a palindrome (16616466461661).

The spelling of 12304251221340 in words is "twelve trillion, three hundred four billion, two hundred fifty-one million, two hundred twenty-one thousand, three hundred forty".