121205412 has 72 divisors (see below), whose sum is σ = 321181952. Its totient is φ = 38491200.

The previous prime is 121205401. The next prime is 121205429. The reversal of 121205412 is 214502121.

121205412 is a `hidden beast` number, since 1 + 2 + 120 + 541 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73962 + ... + 75582.

Almost surely, 2^121205412 is an apocalyptic number.

121205412 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 121205412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160590976).

121205412 is an abundant number, since it is smaller than the sum of its proper divisors (199976540).

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

121205412 is a wasteful number, since it uses less digits than its factorization.

121205412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1729 (or 1724 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 121205412 is about 11009.3329498203. The cubic root of 121205412 is about 494.8884719657. Note that the first 3 decimals are identical.

Adding to 121205412 its reverse (214502121), we get a palindrome (335707533).

The spelling of 121205412 in words is "one hundred twenty-one million, two hundred five thousand, four hundred twelve".