12123133313220 has 36 divisors (see below), whose sum is σ = 36773504383980. Its totient is φ = 3232835550144.

The previous prime is 12123133313209. The next prime is 12123133313297. The reversal of 12123133313220 is 2231333132121.

12123133313220 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 3 + 1 + 3 + 331 + 322 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1630509363396 + 10492623949824 = 1276914^2 + 3239232^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×12123133313220² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33675370135 + ... + 33675370494.

Almost surely, 2^{12123133313220} is an apocalyptic number.

12123133313220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12123133313220 is an abundant number, since it is smaller than the sum of its proper divisors (24650371070760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12123133313220 is a wasteful number, since it uses less digits than its factorization.

12123133313220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67350740644 (or 67350740639 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 12123133313220 its reverse (2231333132121), we get a palindrome (14354466445341).

The spelling of 12123133313220 in words is "twelve trillion, one hundred twenty-three billion, one hundred thirty-three million, three hundred thirteen thousand, two hundred twenty".