1224121310304 has 96 divisors (see below), whose sum is σ = 3266752101984. Its totient is φ = 401258311680.

The previous prime is 1224121310303. The next prime is 1224121310309. The reversal of 1224121310304 is 4030131214221.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1224121310303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28046002 + ... + 28089614.

It is an arithmetic number, because the mean of its divisors is an integer number (34028667729).

Almost surely, 2^{1224121310304} 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 1224121310304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1633376050992).

1224121310304 is an abundant number, since it is smaller than the sum of its proper divisors (2042630791680).

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

1224121310304 is a wasteful number, since it uses less digits than its factorization.

1224121310304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48480 (or 48472 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1224121310304 its reverse (4030131214221), we get a palindrome (5254252524525).

The spelling of 1224121310304 in words is "one trillion, two hundred twenty-four billion, one hundred twenty-one million, three hundred ten thousand, three hundred four".