120111330440133 has 64 divisors (see below), whose sum is σ = 185433767596800. Its totient is φ = 76743968071680.

The previous prime is 120111330440131. The next prime is 120111330440197. The reversal of 120111330440133 is 331044033111021.

120111330440133 is a `hidden beast` number, since 1 + 201 + 1 + 1 + 3 + 3 + 0 + 440 + 13 + 3 = 666.

It is not a de Polignac number, because 120111330440133 - 2¹ = 120111330440131 is a prime.

It is a super-3 number, since 3×120111330440133³ (a number of 43 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 120111330440097 and 120111330440106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120111330440131) 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, 2766819198 + ... + 2766862608.

It is an arithmetic number, because the mean of its divisors is an integer number (2897402618700).

Almost surely, 2^{120111330440133} is an apocalyptic number.

It is an amenable number.

120111330440133 is a deficient number, since it is larger than the sum of its proper divisors (65322437156667).

120111330440133 is a wasteful number, since it uses less digits than its factorization.

120111330440133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69379 (or 69373 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 120111330440133 its reverse (331044033111021), we get a palindrome (451155363551154).

The spelling of 120111330440133 in words is "one hundred twenty trillion, one hundred eleven billion, three hundred thirty million, four hundred forty thousand, one hundred thirty-three".