3012378781920 has 384 divisors, whose sum is σ = 10257003509760. Its totient is φ = 740815994880.

The previous prime is 3012378781879. The next prime is 3012378781921. The reversal of 3012378781920 is 291878732103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3012378781921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53935129 + ... + 53990951.

It is an arithmetic number, because the mean of its divisors is an integer number (26710946640).

Almost surely, 2^{3012378781920} is an apocalyptic number.

3012378781920 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 3012378781920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5128501754880).

3012378781920 is an abundant number, since it is smaller than the sum of its proper divisors (7244624727840).

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

3012378781920 is a wasteful number, since it uses less digits than its factorization.

3012378781920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56018 (or 56010 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 51.

The spelling of 3012378781920 in words is "three trillion, twelve billion, three hundred seventy-eight million, seven hundred eighty-one thousand, nine hundred twenty".