122033131312129 has 8 divisors (see below), whose sum is σ = 122319096116000. Its totient is φ = 121747332146976.

The previous prime is 122033131312109. The next prime is 122033131312177. The reversal of 122033131312129 is 921213131330221.

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

It is a cyclic number.

It is not a de Polignac number, because 122033131312129 - 2⁹ = 122033131311617 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122033131312094 and 122033131312103.

It is not an unprimeable number, because it can be changed into a prime (122033131312109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39934407 + ... + 42881500.

It is an arithmetic number, because the mean of its divisors is an integer number (15289887014500).

Almost surely, 2^{122033131312129} is an apocalyptic number.

It is an amenable number.

122033131312129 is a deficient number, since it is larger than the sum of its proper divisors (285964803871).

122033131312129 is an equidigital number, since it uses as much as digits as its factorization.

122033131312129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82819359.

The product of its (nonzero) digits is 11664, while the sum is 34.

The spelling of 122033131312129 in words is "one hundred twenty-two trillion, thirty-three billion, one hundred thirty-one million, three hundred twelve thousand, one hundred twenty-nine".