1221132301312 has 352 divisors, whose sum is σ = 3098992667904. Its totient is φ = 467140608000.

The previous prime is 1221132301241. The next prime is 1221132301313. The reversal of 1221132301312 is 2131032311221.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221132301313) 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, 2031833812 + ... + 2031834412.

Almost surely, 2^{1221132301312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1221132301312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549496333952).

1221132301312 is an abundant number, since it is smaller than the sum of its proper divisors (1877860366592).

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

1221132301312 is a wasteful number, since it uses less digits than its factorization.

1221132301312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 1221132301312 its reverse (2131032311221), we get a palindrome (3352164612533).

Subtracting 1221132301312 from its reverse (2131032311221), we obtain a palindrome (909900009909).

The spelling of 1221132301312 in words is "one trillion, two hundred twenty-one billion, one hundred thirty-two million, three hundred one thousand, three hundred twelve".