3012150505440 has 192 divisors, whose sum is σ = 9767243981376. Its totient is φ = 779724029952.

The previous prime is 3012150505439. The next prime is 3012150505471. The reversal of 3012150505440 is 445050512103.

3012150505440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3012150505398 and 3012150505407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7494234 + ... + 7885926.

It is an arithmetic number, because the mean of its divisors is an integer number (50871062403).

Almost surely, 2^{3012150505440} is an apocalyptic number.

3012150505440 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 3012150505440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4883621990688).

3012150505440 is an abundant number, since it is smaller than the sum of its proper divisors (6755093475936).

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

3012150505440 is a wasteful number, since it uses less digits than its factorization.

3012150505440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392181 (or 392173 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 3012150505440 in words is "three trillion, twelve billion, one hundred fifty million, five hundred five thousand, four hundred forty".