121415112 has 320 divisors, whose sum is σ = 439084800. Its totient is φ = 30481920.

The previous prime is 121415087. The next prime is 121415117. The reversal of 121415112 is 211514121.

121415112 is a `hidden beast` number, since 12 + 141 + 511 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (121415117) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1710037 + ... + 1710107.

It is an arithmetic number, because the mean of its divisors is an integer number (1372140).

Almost surely, 2^121415112 is an apocalyptic number.

121415112 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 121415112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219542400).

121415112 is an abundant number, since it is smaller than the sum of its proper divisors (317669688).

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

121415112 is a wasteful number, since it uses less digits than its factorization.

121415112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 125 counting only the distinct ones).

The product of its digits is 80, while the sum is 18.

The square root of 121415112 is about 11018.8525718425. The cubic root of 121415112 is about 495.1737131354.

Adding to 121415112 its reverse (211514121), we get a palindrome (332929233).

Subtracting 121415112 from its reverse (211514121), we obtain a palindrome (90099009).

The spelling of 121415112 in words is "one hundred twenty-one million, four hundred fifteen thousand, one hundred twelve".