121134132 has 72 divisors (see below), whose sum is σ = 350977536. Its totient is φ = 34507584.

The previous prime is 121134121. The next prime is 121134149. The reversal of 121134132 is 231431121.

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 congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 139933 + ... + 140795.

It is an arithmetic number, because the mean of its divisors is an integer number (4874688).

Almost surely, 2^121134132 is an apocalyptic number.

121134132 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 121134132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175488768).

121134132 is an abundant number, since it is smaller than the sum of its proper divisors (229843404).

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

121134132 is a wasteful number, since it uses less digits than its factorization.

121134132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1437 (or 1432 counting only the distinct ones).

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

The square root of 121134132 is about 11006.0952203768. The cubic root of 121134132 is about 494.7914395338.

Adding to 121134132 its reverse (231431121), we get a palindrome (352565253).

The spelling of 121134132 in words is "one hundred twenty-one million, one hundred thirty-four thousand, one hundred thirty-two".