120033000133123 has 24 divisors (see below), whose sum is σ = 153257145880160. Its totient is φ = 91998892972800.

The previous prime is 120033000133069. The next prime is 120033000133157. The reversal of 120033000133123 is 321331000330021.

It is not a de Polignac number, because 120033000133123 - 2²⁹ = 120032463262211 is a prime.

It is a super-2 number, since 2×120033000133123² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120033000133094 and 120033000133103.

It is not an unprimeable number, because it can be changed into a prime (120033000130123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1161550518 + ... + 1161653851.

Almost surely, 2^{120033000133123} is an apocalyptic number.

120033000133123 is a deficient number, since it is larger than the sum of its proper divisors (33224145747037).

120033000133123 is a wasteful number, since it uses less digits than its factorization.

120033000133123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2323204459 (or 2323204448 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 120033000133123 its reverse (321331000330021), we get a palindrome (441364000463144).

The spelling of 120033000133123 in words is "one hundred twenty trillion, thirty-three billion, one hundred thirty-three thousand, one hundred twenty-three".