121200414 has 32 divisors (see below), whose sum is σ = 245583360. Its totient is φ = 39873600.

The previous prime is 121200413. The next prime is 121200439. The reversal of 121200414 is 414002121.

It is a junction number, because it is equal to n+sod(n) for n = 121200393 and 121200402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121200413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212722 + ... + 213290.

It is an arithmetic number, because the mean of its divisors is an integer number (7674480).

Almost surely, 2^121200414 is an apocalyptic number.

121200414 is an abundant number, since it is smaller than the sum of its proper divisors (124382946).

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

121200414 is a wasteful number, since it uses less digits than its factorization.

121200414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976.

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 121200414 is about 11009.1059582511. The cubic root of 121200414 is about 494.8816695011.

Adding to 121200414 its reverse (414002121), we get a palindrome (535202535).

The spelling of 121200414 in words is "one hundred twenty-one million, two hundred thousand, four hundred fourteen".