121011312 has 80 divisors (see below), whose sum is σ = 326616992. Its totient is φ = 38568960.

The previous prime is 121011311. The next prime is 121011353. The reversal of 121011312 is 213110121.

It is a super-2 number, since 2×121011312² = 29287475263922688, which contains 22 as substring.

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 (121011311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107778 + ... + 108894.

Almost surely, 2^121011312 is an apocalyptic number.

121011312 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 121011312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163308496).

121011312 is an abundant number, since it is smaller than the sum of its proper divisors (205605680).

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

121011312 is a wasteful number, since it uses less digits than its factorization.

121011312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1220 counting only the distinct ones).

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

The square root of 121011312 is about 11000.5141698013. The cubic root of 121011312 is about 494.6241571066.

Adding to 121011312 its reverse (213110121), we get a palindrome (334121433).

The spelling of 121011312 in words is "one hundred twenty-one million, eleven thousand, three hundred twelve".