6012248760000 has 2240 divisors, whose sum is σ = 26765064437760. Its totient is φ = 1293304320000.

The previous prime is 6012248759989. The next prime is 6012248760041. The reversal of 6012248760000 is 678422106.

6012248760000 is a `hidden beast` number, since 6 + 0 + 1 + 2 + 2 + 48 + 7 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a super-2 number, since 2×6012248760000² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 12345479757 + ... + 12345480243.

Almost surely, 2^{6012248760000} is an apocalyptic number.

6012248760000 is a gapful number since it is divisible by the number (60) 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 6012248760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13382532218880).

6012248760000 is an abundant number, since it is smaller than the sum of its proper divisors (20752815677760).

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

6012248760000 is a wasteful number, since it uses less digits than its factorization.

6012248760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 6012248760000 in words is "six trillion, twelve billion, two hundred forty-eight million, seven hundred sixty thousand".