121418361 has 9 divisors (see below), whose sum is σ = 175429839. Its totient is φ = 80923536.

The previous prime is 121418359. The next prime is 121418383. The reversal of 121418361 is 163814121.

It is a happy number.

The square root of 121418361 is 11019.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7868025 + 113550336 = 2805^2 + 10656^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 121418361 - 2¹ = 121418359 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (121418761) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 31221 + ... + 34893.

Almost surely, 2^121418361 is an apocalyptic number.

121418361 is the 11019-th square number.

121418361 is the 5510-th centered octagonal number.

It is an amenable number.

121418361 is a deficient number, since it is larger than the sum of its proper divisors (54011478).

121418361 is an frugal number, since it uses more digits than its factorization.

121418361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7352 (or 3676 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The cubic root of 121418361 is about 495.1781299526.

It can be divided in two parts, 12141 and 8361, that added together give a palindrome (20502).

The spelling of 121418361 in words is "one hundred twenty-one million, four hundred eighteen thousand, three hundred sixty-one".