3122210142432 has 144 divisors (see below), whose sum is σ = 8931949357968. Its totient is φ = 1034513694720.

The previous prime is 3122210142413. The next prime is 3122210142433. The reversal of 3122210142432 is 2342410122213.

3122210142432 is a `hidden beast` number, since 3 + 1 + 2 + 2 + 210 + 14 + 2 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×3122210142432³ (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3122210142396 and 3122210142405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3122210142433) 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, 71292382 + ... + 71336162.

It is an arithmetic number, because the mean of its divisors is an integer number (62027426097).

Almost surely, 2^{3122210142432} is an apocalyptic number.

3122210142432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3122210142432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4465974678984).

3122210142432 is an abundant number, since it is smaller than the sum of its proper divisors (5809739215536).

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

3122210142432 is a wasteful number, since it uses less digits than its factorization.

3122210142432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45273 (or 45262 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 3122210142432 its reverse (2342410122213), we get a palindrome (5464620264645).

The spelling of 3122210142432 in words is "three trillion, one hundred twenty-two billion, two hundred ten million, one hundred forty-two thousand, four hundred thirty-two".