121101312 has 88 divisors (see below), whose sum is σ = 327520000. Its totient is φ = 39776256.

The previous prime is 121101311. The next prime is 121101313. The reversal of 121101312 is 213101121.

It is an interprime number because it is at equal distance from previous prime (121101311) and next prime (121101313).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121101311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 242439 + ... + 242937.

Almost surely, 2^121101312 is an apocalyptic number.

121101312 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 121101312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163760000).

121101312 is an abundant number, since it is smaller than the sum of its proper divisors (206418688).

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

121101312 is an equidigital number, since it uses as much as digits as its factorization.

121101312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 583 counting only the distinct ones).

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

The square root of 121101312 is about 11004.6041273641. The cubic root of 121101312 is about 494.7467493445.

Adding to 121101312 its reverse (213101121), we get a palindrome (334202433).

The spelling of 121101312 in words is "one hundred twenty-one million, one hundred one thousand, three hundred twelve".