1221049828908 has 1152 divisors, whose sum is σ = 4336723722240. Its totient is φ = 280466841600.

The previous prime is 1221049828903. The next prime is 1221049828913. The reversal of 1221049828908 is 8098289401221.

1221049828908 is a `hidden beast` number, since 122 + 1 + 0 + 498 + 28 + 9 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1221049828903) and next prime (1221049828913).

It is not an unprimeable number, because it can be changed into a prime (1221049828903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 8086422633 + ... + 8086422783.

It is an arithmetic number, because the mean of its divisors is an integer number (3764517120).

Almost surely, 2^{1221049828908} is an apocalyptic number.

1221049828908 is a gapful number since it is divisible by the number (18) 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 1221049828908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2168361861120).

1221049828908 is an abundant number, since it is smaller than the sum of its proper divisors (3115673893332).

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

1221049828908 is a wasteful number, since it uses less digits than its factorization.

1221049828908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 1221049828908 in words is "one trillion, two hundred twenty-one billion, forty-nine million, eight hundred twenty-eight thousand, nine hundred eight".