12140374364416 has 81 divisors (see below), whose sum is σ = 24657701812023. Its totient is φ = 5965685936640.

The previous prime is 12140374364399. The next prime is 12140374364431. The reversal of 12140374364416 is 61446347304121.

The square root of 12140374364416 is 3484304.

It is a perfect power (a square), and thus also a powerful number.

It is a super-3 number, since 3×12140374364416³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 3289181131 + ... + 3289184821.

Almost surely, 2^{12140374364416} is an apocalyptic number.

12140374364416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12140374364416 is the 3484304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12140374364416

12140374364416 is an abundant number, since it is smaller than the sum of its proper divisors (12517327447607).

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

12140374364416 is an frugal number, since it uses more digits than its factorization.

12140374364416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7516 (or 3752 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 46.

The spelling of 12140374364416 in words is "twelve trillion, one hundred forty billion, three hundred seventy-four million, three hundred sixty-four thousand, four hundred sixteen".