6012972288000 has 1152 divisors, whose sum is σ = 23152063334400. Its totient is φ = 1497710592000.

The previous prime is 6012972287953. The next prime is 6012972288061. The reversal of 6012972288000 is 8822792106.

6012972288000 is a `hidden beast` number, since 60 + 1 + 297 + 228 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2071294549 + ... + 2071297451.

It is an arithmetic number, because the mean of its divisors is an integer number (20097277200).

Almost surely, 2^{6012972288000} is an apocalyptic number.

6012972288000 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 6012972288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11576031667200).

6012972288000 is an abundant number, since it is smaller than the sum of its proper divisors (17139091046400).

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

6012972288000 is a wasteful number, since it uses less digits than its factorization.

6012972288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3006 (or 2973 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 6012972288000 in words is "six trillion, twelve billion, nine hundred seventy-two million, two hundred eighty-eight thousand".