121214112 has 48 divisors (see below), whose sum is σ = 318753792. Its totient is φ = 40332800.

The previous prime is 121214089. The next prime is 121214153. The reversal of 121214112 is 211412121.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 121214091 and 121214100.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104737 + ... + 105887.

It is an arithmetic number, because the mean of its divisors is an integer number (6640704).

Almost surely, 2^121214112 is an apocalyptic number.

121214112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121214112 is an abundant number, since it is smaller than the sum of its proper divisors (197539680).

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

121214112 is a wasteful number, since it uses less digits than its factorization.

121214112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2261 (or 2253 counting only the distinct ones).

The product of its digits is 32, while the sum is 15.

The square root of 121214112 is about 11009.7280620368. The cubic root of 121214112 is about 494.9003125445.

Adding to 121214112 its reverse (211412121), we get a palindrome (332626233).

The spelling of 121214112 in words is "one hundred twenty-one million, two hundred fourteen thousand, one hundred twelve".