3212122212123 has 192 divisors, whose sum is σ = 5244350791680. Its totient is φ = 1739829611520.

The previous prime is 3212122212097. The next prime is 3212122212139.

3212122212123 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3212122212123 - 2²¹ = 3212120114971 is a prime.

It is a super-2 number, since 2×3212122212123² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3212122212093 and 3212122212102.

It is not an unprimeable number, because it can be changed into a prime (3212122212023) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1404512286 + ... + 1404514572.

It is an arithmetic number, because the mean of its divisors is an integer number (27314327040).

Almost surely, 2^{3212122212123} is an apocalyptic number.

3212122212123 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

3212122212123 is a deficient number, since it is larger than the sum of its proper divisors (2032228579557).

3212122212123 is a wasteful number, since it uses less digits than its factorization.

3212122212123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2518 (or 2507 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The spelling of 3212122212123 in words is "three trillion, two hundred twelve billion, one hundred twenty-two million, two hundred twelve thousand, one hundred twenty-three".