3213000042144 has 96 divisors (see below), whose sum is σ = 8878952194560. Its totient is φ = 1014525792000.

The previous prime is 3213000042047. The next prime is 3213000042193. The reversal of 3213000042144 is 4412400003123.

3213000042144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3213000042144² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18428659 + ... + 18602189.

It is an arithmetic number, because the mean of its divisors is an integer number (92489085360).

Almost surely, 2^{3213000042144} is an apocalyptic number.

It is an amenable number.

3213000042144 is an abundant number, since it is smaller than the sum of its proper divisors (5665952152416).

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

3213000042144 is a wasteful number, since it uses less digits than its factorization.

3213000042144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183714 (or 183706 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 3213000042144 its reverse (4412400003123), we get a palindrome (7625400045267).

The spelling of 3213000042144 in words is "three trillion, two hundred thirteen billion, forty-two thousand, one hundred forty-four".