121205633 has 2 divisors, whose sum is σ = 121205634. Its totient is φ = 121205632.

The previous prime is 121205611. The next prime is 121205639. The reversal of 121205633 is 336502121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106977649 + 14227984 = 10343^2 + 3772^2 .

It is a cyclic number.

It is not a de Polignac number, because 121205633 - 2¹⁸ = 120943489 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121205599 and 121205608.

It is not a weakly prime, because it can be changed into another prime (121205639) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60602816 + 60602817.

It is an arithmetic number, because the mean of its divisors is an integer number (60602817).

Almost surely, 2^121205633 is an apocalyptic number.

It is an amenable number.

121205633 is a deficient number, since it is larger than the sum of its proper divisors (1).

121205633 is an equidigital number, since it uses as much as digits as its factorization.

121205633 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 121205633 is about 11009.3429867545. The cubic root of 121205633 is about 494.8887727507. Note that the first 3 decimals are identical.

Adding to 121205633 its reverse (336502121), we get a palindrome (457707754).

The spelling of 121205633 in words is "one hundred twenty-one million, two hundred five thousand, six hundred thirty-three".