3211103122000 has 80 divisors (see below), whose sum is σ = 7870809999312. Its totient is φ = 1266846105600.

The previous prime is 3211103121983. The next prime is 3211103122021. The reversal of 3211103122000 is 2213011123.

It can be written as a sum of positive squares in 8 ways, for example, as 205165514304 + 3005937607696 = 452952^2 + 1733764^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3211103122000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10850929 + ... + 11142928.

Almost surely, 2^{3211103122000} is an apocalyptic number.

It is an amenable number.

3211103122000 is an abundant number, since it is smaller than the sum of its proper divisors (4659706877312).

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

3211103122000 is a wasteful number, since it uses less digits than its factorization.

3211103122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21993953 (or 21993937 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 3211103122000 its reverse (2213011123), we get a palindrome (3213316133123).

The spelling of 3211103122000 in words is "three trillion, two hundred eleven billion, one hundred three million, one hundred twenty-two thousand".