3012142320 has 240 divisors, whose sum is σ = 11083299552. Its totient is φ = 727050240.

The previous prime is 3012142319. The next prime is 3012142339. The reversal of 3012142320 is 232412103.

3012142320 is a `hidden beast` number, since 301 + 2 + 1 + 42 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 3012142293 and 3012142302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2193154 + ... + 2194526.

Almost surely, 2^3012142320 is an apocalyptic number.

3012142320 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 3012142320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5541649776).

3012142320 is an abundant number, since it is smaller than the sum of its proper divisors (8071157232).

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

3012142320 is a wasteful number, since it uses less digits than its factorization.

3012142320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3012142320 is about 54882.9875280127. The cubic root of 3012142320 is about 1444.1927572168.

Adding to 3012142320 its reverse (232412103), we get a palindrome (3244554423).

The spelling of 3012142320 in words is "three billion, twelve million, one hundred forty-two thousand, three hundred twenty".