1011221304960 has 256 divisors, whose sum is σ = 3251880898560. Its totient is φ = 267269603328.

The previous prime is 1011221304953. The next prime is 1011221304967. The reversal of 1011221304960 is 694031221101.

1011221304960 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1011221304953) and next prime (1011221304967).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1011221304967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 422573524 + ... + 422575916.

It is an arithmetic number, because the mean of its divisors is an integer number (12702659760).

Almost surely, 2^{1011221304960} is an apocalyptic number.

1011221304960 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 1011221304960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625940449280).

1011221304960 is an abundant number, since it is smaller than the sum of its proper divisors (2240659593600).

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

1011221304960 is a wasteful number, since it uses less digits than its factorization.

1011221304960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4275 (or 4263 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The spelling of 1011221304960 in words is "one trillion, eleven billion, two hundred twenty-one million, three hundred four thousand, nine hundred sixty".