121221231332031 has 24 divisors (see below), whose sum is σ = 184552662294000. Its totient is φ = 76461218721792.

The previous prime is 121221231331957. The next prime is 121221231332059. The reversal of 121221231332031 is 130233132122121.

121221231332031 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 21 + 2 + 313 + 320 + 3 + 1 = 666.

It is not a de Polignac number, because 121221231332031 - 2²² = 121221227137727 is a prime.

It is a super-3 number, since 3×121221231332031³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 121221231331986 and 121221231332004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121221231332731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 460789236 + ... + 461052233.

It is an arithmetic number, because the mean of its divisors is an integer number (7689694262250).

Almost surely, 2^{121221231332031} is an apocalyptic number.

121221231332031 is a deficient number, since it is larger than the sum of its proper divisors (63331430961969).

121221231332031 is a wasteful number, since it uses less digits than its factorization.

121221231332031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921842263 (or 921842260 counting only the distinct ones).

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

Adding to 121221231332031 its reverse (130233132122121), we get a palindrome (251454363454152).

The spelling of 121221231332031 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, two hundred thirty-one million, three hundred thirty-two thousand, thirty-one".