1223306121600 has 432 divisors, whose sum is σ = 4388787732420. Its totient is φ = 324448604160.

The previous prime is 1223306121539. The next prime is 1223306121613. The reversal of 1223306121600 is 61216033221.

1223306121600 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 30 + 6 + 1 + 21 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2083996507 + ... + 2083997093.

Almost surely, 2^{1223306121600} is an apocalyptic number.

1223306121600 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 1223306121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2194393866210).

1223306121600 is an abundant number, since it is smaller than the sum of its proper divisors (3165481610820).

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

1223306121600 is an equidigital number, since it uses as much as digits as its factorization.

1223306121600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 1223306121600 in words is "one trillion, two hundred twenty-three billion, three hundred six million, one hundred twenty-one thousand, six hundred".