121134312 has 128 divisors (see below), whose sum is σ = 365904000. Its totient is φ = 36910080.

The previous prime is 121134289. The next prime is 121134341. The reversal of 121134312 is 213431121.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a zygodrome in base 5.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 502512 + ... + 502752.

It is an arithmetic number, because the mean of its divisors is an integer number (2858625).

Almost surely, 2^121134312 is an apocalyptic number.

121134312 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 121134312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182952000).

121134312 is an abundant number, since it is smaller than the sum of its proper divisors (244769688).

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

121134312 is a wasteful number, since it uses less digits than its factorization.

121134312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 438 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 121134312 is about 11006.1033976608. The cubic root of 121134312 is about 494.7916846132.

Adding to 121134312 its reverse (213431121), we get a palindrome (334565433).

The spelling of 121134312 in words is "one hundred twenty-one million, one hundred thirty-four thousand, three hundred twelve".