3221132123034 has 192 divisors, whose sum is σ = 8507513203200. Its totient is φ = 900359542656.

The previous prime is 3221132122991. The next prime is 3221132123047. The reversal of 3221132123034 is 4303212311223.

3221132123034 is a `hidden beast` number, since 3 + 22 + 11 + 321 + 2 + 303 + 4 = 666.

It is a super-2 number, since 2×3221132123034² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3221132122989 and 3221132123007.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 424443712 + ... + 424451300.

It is an arithmetic number, because the mean of its divisors is an integer number (44309964600).

Almost surely, 2^{3221132123034} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3221132123034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4253756601600).

3221132123034 is an abundant number, since it is smaller than the sum of its proper divisors (5286381080166).

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

3221132123034 is a wasteful number, since it uses less digits than its factorization.

3221132123034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11074 (or 11061 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 3221132123034 its reverse (4303212311223), we get a palindrome (7524344434257).

The spelling of 3221132123034 in words is "three trillion, two hundred twenty-one billion, one hundred thirty-two million, one hundred twenty-three thousand, thirty-four".