1221002016 has 288 divisors, whose sum is σ = 3884811840. Its totient is φ = 333545472.

The previous prime is 1221002011. The next prime is 1221002021. The reversal of 1221002016 is 6102001221.

It is an interprime number because it is at equal distance from previous prime (1221002011) and next prime (1221002021).

It is a junction number, because it is equal to n+sod(n) for n = 1221001986 and 1221002004.

It is not an unprimeable number, because it can be changed into a prime (1221002011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5240236 + ... + 5240468.

It is an arithmetic number, because the mean of its divisors is an integer number (13488930).

Almost surely, 2^1221002016 is an apocalyptic number.

1221002016 is a gapful number since it is divisible by the number (16) 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 1221002016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1942405920).

1221002016 is an abundant number, since it is smaller than the sum of its proper divisors (2663809824).

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

1221002016 is a wasteful number, since it uses less digits than its factorization.

1221002016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1221002016 is about 34942.8392664363. The cubic root of 1221002016 is about 1068.8221866771.

Adding to 1221002016 its reverse (6102001221), we get a palindrome (7323003237).

The spelling of 1221002016 in words is "one billion, two hundred twenty-one million, two thousand, sixteen".