6012981216 has 240 divisors, whose sum is σ = 19916886528. Its totient is φ = 1763078400.

The previous prime is 6012981197. The next prime is 6012981217. The reversal of 6012981216 is 6121892106.

6012981216 is a `hidden beast` number, since 601 + 29 + 8 + 1 + 21 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6012981217) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 880471 + ... + 887273.

Almost surely, 2^6012981216 is an apocalyptic number.

6012981216 is a gapful number since it is divisible by the number (66) 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 6012981216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9958443264).

6012981216 is an abundant number, since it is smaller than the sum of its proper divisors (13903905312).

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

6012981216 is a wasteful number, since it uses less digits than its factorization.

6012981216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6867 (or 6850 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 6012981216 is about 77543.4150395764. The cubic root of 6012981216 is about 1818.4301174908.

The spelling of 6012981216 in words is "six billion, twelve million, nine hundred eighty-one thousand, two hundred sixteen".