3213023022000 has 480 divisors, whose sum is σ = 12409959122496. Its totient is φ = 768241152000.

The previous prime is 3213023021981. The next prime is 3213023022007. The reversal of 3213023022000 is 2203203123.

It is a happy number.

3213023022000 is a `hidden beast` number, since 3 + 213 + 0 + 230 + 220 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3213023022007) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 14342854 + ... + 14565146.

Almost surely, 2^{3213023022000} is an apocalyptic number.

3213023022000 is a gapful number since it is divisible by the number (30) 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 3213023022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6204979561248).

3213023022000 is an abundant number, since it is smaller than the sum of its proper divisors (9196936100496).

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

3213023022000 is a wasteful number, since it uses less digits than its factorization.

3213023022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222406 (or 222387 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 3213023022000 its reverse (2203203123), we get a palindrome (3215226225123).

The spelling of 3213023022000 in words is "three trillion, two hundred thirteen billion, twenty-three million, twenty-two thousand".