1221828997248 has 160 divisors (see below), whose sum is σ = 3642688599660. Its totient is φ = 406543214592.

The previous prime is 1221828997111. The next prime is 1221828997349. The reversal of 1221828997248 is 8427998281221.

1221828997248 is a `hidden beast` number, since 1 + 2 + 21 + 8 + 289 + 97 + 248 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1141803376704 + 80025620544 = 1068552^2 + 282888^2 .

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 5669190 + ... + 5880762.

Almost surely, 2^{1221828997248} is an apocalyptic number.

1221828997248 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 1221828997248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821344299830).

1221828997248 is an abundant number, since it is smaller than the sum of its proper divisors (2420859602412).

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

1221828997248 is an equidigital number, since it uses as much as digits as its factorization.

1221828997248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212156 (or 212135 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 63.

The spelling of 1221828997248 in words is "one trillion, two hundred twenty-one billion, eight hundred twenty-eight million, nine hundred ninety-seven thousand, two hundred forty-eight".