3012234144192 has 1344 divisors, whose sum is σ = 12088806912000. Its totient is φ = 708155965440.

The previous prime is 3012234144169. The next prime is 3012234144197. The reversal of 3012234144192 is 2914414322103.

3012234144192 is a `hidden beast` number, since 3 + 0 + 1 + 2 + 234 + 1 + 4 + 419 + 2 = 666.

3012234144192 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 (1344).

It is a super-3 number, since 3×3012234144192³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3012234144197) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 829586217 + ... + 829589847.

It is an arithmetic number, because the mean of its divisors is an integer number (8994648000).

Almost surely, 2^{3012234144192} is an apocalyptic number.

3012234144192 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 3012234144192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6044403456000).

3012234144192 is an abundant number, since it is smaller than the sum of its proper divisors (9076572767808).

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

3012234144192 is a wasteful number, since it uses less digits than its factorization.

3012234144192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3719 (or 3692 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 3012234144192 its reverse (2914414322103), we get a palindrome (5926648466295).

The spelling of 3012234144192 in words is "three trillion, twelve billion, two hundred thirty-four million, one hundred forty-four thousand, one hundred ninety-two".