122033303122123 has 64 divisors (see below), whose sum is σ = 135179522839296. Its totient is φ = 109680721920000.

The previous prime is 122033303122103. The next prime is 122033303122169. The reversal of 122033303122123 is 321221303330221.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 122033303122123 - 2²⁹ = 122032766251211 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122033303122091 and 122033303122100.

It is not an unprimeable number, because it can be changed into a prime (122033303122103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36968584573 + ... + 36968587873.

It is an arithmetic number, because the mean of its divisors is an integer number (2112180044364).

Almost surely, 2^{122033303122123} is an apocalyptic number.

122033303122123 is a deficient number, since it is larger than the sum of its proper divisors (13146219717173).

122033303122123 is a wasteful number, since it uses less digits than its factorization.

122033303122123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6904.

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 122033303122123 its reverse (321221303330221), we get a palindrome (443254606452344).

The spelling of 122033303122123 in words is "one hundred twenty-two trillion, thirty-three billion, three hundred three million, one hundred twenty-two thousand, one hundred twenty-three".