1221004004024 has 64 divisors (see below), whose sum is σ = 2681591693760. Its totient is φ = 510269276160.

The previous prime is 1221004004009. The next prime is 1221004004083. The reversal of 1221004004024 is 4204004001221.

It is a junction number, because it is equal to n+sod(n) for n = 1221004003987 and 1221004004005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4499204 + ... + 4762860.

It is an arithmetic number, because the mean of its divisors is an integer number (41899870215).

Almost surely, 2^{1221004004024} is an apocalyptic number.

1221004004024 is a gapful number since it is divisible by the number (14) 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 1221004004024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340795846880).

1221004004024 is an abundant number, since it is smaller than the sum of its proper divisors (1460587689736).

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

1221004004024 is a wasteful number, since it uses less digits than its factorization.

1221004004024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265728 (or 265724 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 1221004004024 its reverse (4204004001221), we get a palindrome (5425008005245).

The spelling of 1221004004024 in words is "one trillion, two hundred twenty-one billion, four million, four thousand, twenty-four".