121314144320 has 112 divisors (see below), whose sum is σ = 296660620800. Its totient is φ = 47235901440.

The previous prime is 121314144317. The next prime is 121314144379. The reversal of 121314144320 is 23441413121.

It is a super-2 number, since 2×121314144320² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 121314144320.

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 15 ways as a sum of consecutive naturals, for example, 1761086 + ... + 1828674.

Almost surely, 2^121314144320 is an apocalyptic number.

121314144320 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 121314144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148330310400).

121314144320 is an abundant number, since it is smaller than the sum of its proper divisors (175346476480).

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

121314144320 is an equidigital number, since it uses as much as digits as its factorization.

121314144320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67756 (or 67746 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 121314144320 its reverse (23441413121), we get a palindrome (144755557441).

The spelling of 121314144320 in words is "one hundred twenty-one billion, three hundred fourteen million, one hundred forty-four thousand, three hundred twenty".