1221132000000 has 1134 divisors, whose sum is σ = 4624610569852. Its totient is φ = 285824000000.

The previous prime is 1221131999987. The next prime is 1221132000007. The reversal of 1221132000000 is 2311221.

It is a super-2 number, since 2×1221132000000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 1221132000000.

It is not an unprimeable number, because it can be changed into a prime (1221132000007) by changing a digit.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 42107999986 + ... + 42108000014.

Almost surely, 2^{1221132000000} is an apocalyptic number.

1221132000000 is a gapful number since it is divisible by the number (10) 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 1221132000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2312305284926).

1221132000000 is an abundant number, since it is smaller than the sum of its proper divisors (3403478569852).

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

1221132000000 is an frugal number, since it uses more digits than its factorization.

1221132000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Multiplying 1221132000000 by its sum of digits (12), we get a square (14653584000000 = 3828000²).

1221132000000 divided by its sum of digits (12) gives a square (101761000000 = 319000²).

Adding to 1221132000000 its reverse (2311221), we get a palindrome (1221134311221).

The spelling of 1221132000000 in words is "one trillion, two hundred twenty-one billion, one hundred thirty-two million", and thus it is an aban number.