212112201332031 has 256 divisors, whose sum is σ = 393759113932800. Its totient is φ = 98007161241600.

The previous prime is 212112201332027. The next prime is 212112201332107. The reversal of 212112201332031 is 130233102211212.

It is not a de Polignac number, because 212112201332031 - 2² = 212112201332027 is a prime.

It is a super-2 number, since 2×212112201332031² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212112201331992 and 212112201332010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212112201332021) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 40317845941 + ... + 40317851201.

It is an arithmetic number, because the mean of its divisors is an integer number (1538121538800).

Almost surely, 2^{212112201332031} is an apocalyptic number.

212112201332031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

212112201332031 is a deficient number, since it is larger than the sum of its proper divisors (181646912600769).

212112201332031 is a wasteful number, since it uses less digits than its factorization.

212112201332031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8770.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 212112201332031 its reverse (130233102211212), we get a palindrome (342345303543243).

The spelling of 212112201332031 in words is "two hundred twelve trillion, one hundred twelve billion, two hundred one million, three hundred thirty-two thousand, thirty-one".