1223416010304 has 336 divisors, whose sum is σ = 3790704453120. Its totient is φ = 376090767360.

The previous prime is 1223416010293. The next prime is 1223416010353. The reversal of 1223416010304 is 4030106143221.

It is a happy number.

1223416010304 is a `hidden beast` number, since 1 + 2 + 2 + 341 + 6 + 0 + 10 + 304 = 666.

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, 336934569 + ... + 336938199.

Almost surely, 2^{1223416010304} 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 1223416010304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1895352226560).

1223416010304 is an abundant number, since it is smaller than the sum of its proper divisors (2567288442816).

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

1223416010304 is a wasteful number, since it uses less digits than its factorization.

1223416010304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4578 (or 4565 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 1223416010304 in words is "one trillion, two hundred twenty-three billion, four hundred sixteen million, ten thousand, three hundred four".