1221133320312 has 128 divisors (see below), whose sum is σ = 3204988300800. Its totient is φ = 387212732928.

The previous prime is 1221133320293. The next prime is 1221133320353. The reversal of 1221133320312 is 2130233311221.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14079303 + ... + 14165769.

It is an arithmetic number, because the mean of its divisors is an integer number (25038971100).

Almost surely, 2^{1221133320312} is an apocalyptic number.

1221133320312 is a gapful number since it is divisible by the number (12) 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 1221133320312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1602494150400).

1221133320312 is an abundant number, since it is smaller than the sum of its proper divisors (1983854980488).

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

1221133320312 is a wasteful number, since it uses less digits than its factorization.

1221133320312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86805 (or 86801 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 1221133320312 its reverse (2130233311221), we get a palindrome (3351366631533).

Subtracting 1221133320312 from its reverse (2130233311221), we obtain a palindrome (909099990909).

The spelling of 1221133320312 in words is "one trillion, two hundred twenty-one billion, one hundred thirty-three million, three hundred twenty thousand, three hundred twelve".