121122211212333 has 112 divisors (see below), whose sum is σ = 189366391508160. Its totient is φ = 77362748483328.

The previous prime is 121122211212329. The next prime is 121122211212361. The reversal of 121122211212333 is 333212112221121.

121122211212333 is a `hidden beast` number, since 1 + 2 + 112 + 2 + 2 + 1 + 1 + 212 + 333 = 666.

It is not a de Polignac number, because 121122211212333 - 2² = 121122211212329 is a prime.

It is a super-2 number, since 2×121122211212333² (a number of 29 digits) contains 22 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 = 121122211212297 and 121122211212306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121122211212323) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5163132958 + ... + 5163156416.

Almost surely, 2^{121122211212333} is an apocalyptic number.

It is an amenable number.

121122211212333 is a deficient number, since it is larger than the sum of its proper divisors (68244180295827).

121122211212333 is an equidigital number, since it uses as much as digits as its factorization.

121122211212333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26438 (or 26423 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

Adding to 121122211212333 its reverse (333212112221121), we get a palindrome (454334323433454).

The spelling of 121122211212333 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, two hundred eleven million, two hundred twelve thousand, three hundred thirty-three".