12140272170400 has 576 divisors, whose sum is σ = 33388007030784. Its totient is φ = 4272839168000.

The previous prime is 12140272170379. The next prime is 12140272170443. The reversal of 12140272170400 is 407127204121.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17932454862 + ... + 17932455538.

It is an arithmetic number, because the mean of its divisors is an integer number (57965289984).

Almost surely, 2^{12140272170400} is an apocalyptic number.

12140272170400 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 12140272170400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16694003515392).

12140272170400 is an abundant number, since it is smaller than the sum of its proper divisors (21247734860384).

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

12140272170400 is a wasteful number, since it uses less digits than its factorization.

12140272170400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 31.

Adding to 12140272170400 its reverse (407127204121), we get a palindrome (12547399374521).

The spelling of 12140272170400 in words is "twelve trillion, one hundred forty billion, two hundred seventy-two million, one hundred seventy thousand, four hundred".