412742121 has 32 divisors (see below), whose sum is σ = 620960256. Its totient is φ = 241680000.

The previous prime is 412742117. The next prime is 412742131. The reversal of 412742121 is 121247214.

It is not a de Polignac number, because 412742121 - 2² = 412742117 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 412742091 and 412742100.

It is not an unprimeable number, because it can be changed into a prime (412742101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143346 + ... + 146196.

It is an arithmetic number, because the mean of its divisors is an integer number (19405008).

Almost surely, 2^412742121 is an apocalyptic number.

412742121 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

412742121 is a deficient number, since it is larger than the sum of its proper divisors (208218135).

412742121 is a wasteful number, since it uses less digits than its factorization.

412742121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3013.

The product of its digits is 896, while the sum is 24.

The square root of 412742121 is about 20316.0557441645. The cubic root of 412742121 is about 744.5483928749.

Adding to 412742121 its reverse (121247214), we get a palindrome (533989335).

The spelling of 412742121 in words is "four hundred twelve million, seven hundred forty-two thousand, one hundred twenty-one".