122202012011193 has 40 divisors (see below), whose sum is σ = 183130471694280. Its totient is φ = 81208384151040.

The previous prime is 122202012011153. The next prime is 122202012011197. The reversal of 122202012011193 is 391110210202221.

122202012011193 is a `hidden beast` number, since 122 + 20 + 201 + 201 + 119 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11901858308649 + 110300153702544 = 3449907^2 + 10502388^2 .

It is not a de Polignac number, because 122202012011193 - 2²⁰ = 122202010962617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (122202012011197) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1099664673 + ... + 1099775793.

It is an arithmetic number, because the mean of its divisors is an integer number (4578261792357).

Almost surely, 2^{122202012011193} is an apocalyptic number.

It is an amenable number.

122202012011193 is a deficient number, since it is larger than the sum of its proper divisors (60928459683087).

122202012011193 is a wasteful number, since it uses less digits than its factorization.

122202012011193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154279 (or 154270 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 122202012011193 in words is "one hundred twenty-two trillion, two hundred two billion, twelve million, eleven thousand, one hundred ninety-three".