122121022012193 has 8 divisors (see below), whose sum is σ = 131424359273640. Its totient is φ = 113053212276480.

The previous prime is 122121022012051. The next prime is 122121022012229. The reversal of 122121022012193 is 391210220121221.

It can be written as a sum of positive squares in 4 ways, for example, as 548522428129 + 121572499584064 = 740623^2 + 11025992^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 122121022012193 - 2¹⁰ = 122121022011169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122121022011193) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58881880358 + ... + 58881882431.

It is an arithmetic number, because the mean of its divisors is an integer number (16428044909205).

Almost surely, 2^{122121022012193} is an apocalyptic number.

It is an amenable number.

122121022012193 is a deficient number, since it is larger than the sum of its proper divisors (9303337261447).

122121022012193 is a wasteful number, since it uses less digits than its factorization.

122121022012193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117763762867.

The product of its (nonzero) digits is 1728, while the sum is 29.

The spelling of 122121022012193 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, twenty-two million, twelve thousand, one hundred ninety-three".