120121133011 has 16 divisors (see below), whose sum is σ = 137815400448. Its totient is φ = 103630665600.

The previous prime is 120121132997. The next prime is 120121133039. The reversal of 120121133011 is 110331121021.

It is a happy number.

It is not a de Polignac number, because 120121133011 - 2³⁵ = 85761394643 is a prime.

It is a super-2 number, since 2×120121133011² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (120121139011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1837110 + ... + 1901371.

It is an arithmetic number, because the mean of its divisors is an integer number (8613462528).

Almost surely, 2^120121133011 is an apocalyptic number.

120121133011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

120121133011 is a deficient number, since it is larger than the sum of its proper divisors (17694267437).

120121133011 is a wasteful number, since it uses less digits than its factorization.

120121133011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3738642.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 120121133011 its reverse (110331121021), we get a palindrome (230452254032).

The spelling of 120121133011 in words is "one hundred twenty billion, one hundred twenty-one million, one hundred thirty-three thousand, eleven".