121132323312 has 640 divisors, whose sum is σ = 438973237248. Its totient is φ = 27769651200.

The previous prime is 121132323283. The next prime is 121132323317. The reversal of 121132323312 is 213323231121.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121132323317) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 108443778 + ... + 108444894.

Almost surely, 2^121132323312 is an apocalyptic number.

121132323312 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 121132323312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219486618624).

121132323312 is an abundant number, since it is smaller than the sum of its proper divisors (317840913936).

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

121132323312 is a wasteful number, since it uses less digits than its factorization.

121132323312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257 (or 1251 counting only the distinct ones).

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

Adding to 121132323312 its reverse (213323231121), we get a palindrome (334455554433).

It can be divided in two parts, 121132 and 323312, that added together give a palindrome (444444).

The spelling of 121132323312 in words is "one hundred twenty-one billion, one hundred thirty-two million, three hundred twenty-three thousand, three hundred twelve".