121966970472829 has 2 divisors, whose sum is σ = 121966970472830. Its totient is φ = 121966970472828.

The previous prime is 121966970472803. The next prime is 121966970472833. The reversal of 121966970472829 is 928274079669121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 121180423207204 + 786547265625 = 11008198^2 + 886875^2 .

It is a cyclic number.

It is not a de Polignac number, because 121966970472829 - 2⁵ = 121966970472797 is a prime.

It is a super-2 number, since 2×121966970472829² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (121966970472859) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60983485236414 + 60983485236415.

It is an arithmetic number, because the mean of its divisors is an integer number (60983485236415).

Almost surely, 2^{121966970472829} is an apocalyptic number.

It is an amenable number.

121966970472829 is a deficient number, since it is larger than the sum of its proper divisors (1).

121966970472829 is an equidigital number, since it uses as much as digits as its factorization.

121966970472829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 329204736, while the sum is 73.

The spelling of 121966970472829 in words is "one hundred twenty-one trillion, nine hundred sixty-six billion, nine hundred seventy million, four hundred seventy-two thousand, eight hundred twenty-nine".