340231221200000 has 384 divisors, whose sum is σ = 914064595652880. Its totient is φ = 125390592000000.

The previous prime is 340231221199937. The next prime is 340231221200033. The reversal of 340231221200000 is 2122132043.

It can be written as a sum of positive squares in 24 ways, for example, as 268925626698304 + 71305594501696 = 16398952^2 + 8444264^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2813139530 + ... + 2813260470.

Almost surely, 2^{340231221200000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340231221200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457032297826440).

340231221200000 is an abundant number, since it is smaller than the sum of its proper divisors (573833374452880).

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

340231221200000 is an equidigital number, since it uses as much as digits as its factorization.

340231221200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121534 (or 121502 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 340231221200000 its reverse (2122132043), we get a palindrome (340233343332043).

The spelling of 340231221200000 in words is "three hundred forty trillion, two hundred thirty-one billion, two hundred twenty-one million, two hundred thousand".