1221012096 has 64 divisors (see below), whose sum is σ = 3273734880. Its totient is φ = 403186688.

The previous prime is 1221012083. The next prime is 1221012119. The reversal of 1221012096 is 6902101221.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26230 + ... + 55946.

Almost surely, 2^1221012096 is an apocalyptic number.

1221012096 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 1221012096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1636867440).

1221012096 is an abundant number, since it is smaller than the sum of its proper divisors (2052722784).

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

1221012096 is a wasteful number, since it uses less digits than its factorization.

1221012096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29841 (or 29829 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 1221012096 is about 34942.9835016989. The cubic root of 1221012096 is about 1068.8251278948.

The spelling of 1221012096 in words is "one billion, two hundred twenty-one million, twelve thousand, ninety-six".