12011032031031 has 96 divisors (see below), whose sum is σ = 20269632015360. Its totient is φ = 6772672051200.

The previous prime is 12011032031003. The next prime is 12011032031071. The reversal of 12011032031031 is 13013023011021.

12011032031031 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 1 + 0 + 320 + 310 + 31 = 666.

It is not a de Polignac number, because 12011032031031 - 2¹⁷ = 12011031899959 is a prime.

It is a super-2 number, since 2×12011032031031² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12011032030995 and 12011032031013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011032031071) 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 95 ways as a sum of consecutive naturals, for example, 1044159426 + ... + 1044170928.

It is an arithmetic number, because the mean of its divisors is an integer number (211142000160).

Almost surely, 2^{12011032031031} is an apocalyptic number.

12011032031031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12011032031031 is a deficient number, since it is larger than the sum of its proper divisors (8258599984329).

12011032031031 is a wasteful number, since it uses less digits than its factorization.

12011032031031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18597 (or 18594 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12011032031031 its reverse (13013023011021), we get a palindrome (25024055042052).

The spelling of 12011032031031 in words is "twelve trillion, eleven billion, thirty-two million, thirty-one thousand, thirty-one".