121411332 has 96 divisors (see below), whose sum is σ = 368605440. Its totient is φ = 33834240.

The previous prime is 121411271. The next prime is 121411333. The reversal of 121411332 is 233114121.

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 not an unprimeable number, because it can be changed into a prime (121411333) 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 31 ways as a sum of consecutive naturals, for example, 29038 + ... + 32954.

It is an arithmetic number, because the mean of its divisors is an integer number (3839640).

Almost surely, 2^121411332 is an apocalyptic number.

121411332 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 121411332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184302720).

121411332 is an abundant number, since it is smaller than the sum of its proper divisors (247194108).

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

121411332 is a wasteful number, since it uses less digits than its factorization.

121411332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3978 (or 3970 counting only the distinct ones).

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

The square root of 121411332 is about 11018.6810462959. The cubic root of 121411332 is about 495.1685743570.

Adding to 121411332 its reverse (233114121), we get a palindrome (354525453).

It can be divided in two parts, 12 and 1411332, that added together give a square (1411344 = 1188²).

The spelling of 121411332 in words is "one hundred twenty-one million, four hundred eleven thousand, three hundred thirty-two".