122964193 has 12 divisors (see below), whose sum is σ = 137020324. Its totient is φ = 110246400.

The previous prime is 122964169. The next prime is 122964199. The reversal of 122964193 is 391469221.

It can be written as a sum of positive squares in 2 ways, for example, as 71368704 + 51595489 = 8448^2 + 7183^2 .

It is not a de Polignac number, because 122964193 - 2⁵ = 122964161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122964199) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1873 + ... + 15793.

Almost surely, 2^122964193 is an apocalyptic number.

It is an amenable number.

122964193 is a deficient number, since it is larger than the sum of its proper divisors (14056131).

122964193 is a wasteful number, since it uses less digits than its factorization.

122964193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14016 (or 14005 counting only the distinct ones).

The product of its digits is 23328, while the sum is 37.

The square root of 122964193 is about 11088.9220846753. The cubic root of 122964193 is about 497.2707198333.

The spelling of 122964193 in words is "one hundred twenty-two million, nine hundred sixty-four thousand, one hundred ninety-three".