121132416 has 32 divisors (see below), whose sum is σ = 321759000. Its totient is φ = 40377344.

The previous prime is 121132411. The next prime is 121132423. The reversal of 121132416 is 614231121.

It is a tau number, because it is divible by the number of its divisors (32).

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

It is a junction number, because it is equal to n+sod(n) for n = 121132392 and 121132401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121132411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 157341 + ... + 158108.

Almost surely, 2^121132416 is an apocalyptic number.

121132416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

121132416 is an abundant number, since it is smaller than the sum of its proper divisors (200626584).

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

121132416 is an equidigital number, since it uses as much as digits as its factorization.

121132416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315466 (or 315454 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 121132416 is about 11006.0172632974. The cubic root of 121132416 is about 494.7891030987.

Adding to 121132416 its reverse (614231121), we get a palindrome (735363537).

The spelling of 121132416 in words is "one hundred twenty-one million, one hundred thirty-two thousand, four hundred sixteen".