120111321333003 has 256 divisors, whose sum is σ = 222170676940800. Its totient is φ = 55701331845120.

The previous prime is 120111321332953. The next prime is 120111321333019. The reversal of 120111321333003 is 300333123111021.

120111321333003 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 120111321333003 - 2¹⁶ = 120111321267467 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120111321333083) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 16615201993 + ... + 16615209221.

It is an arithmetic number, because the mean of its divisors is an integer number (867854206800).

Almost surely, 2^{120111321333003} is an apocalyptic number.

120111321333003 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

120111321333003 is a deficient number, since it is larger than the sum of its proper divisors (102059355607797).

120111321333003 is a wasteful number, since it uses less digits than its factorization.

120111321333003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8182.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 120111321333003 its reverse (300333123111021), we get a palindrome (420444444444024).

The spelling of 120111321333003 in words is "one hundred twenty trillion, one hundred eleven billion, three hundred twenty-one million, three hundred thirty-three thousand, three".