6001249661312 has 64 divisors (see below), whose sum is σ = 12342328978560. Its totient is φ = 2903583559680.

The previous prime is 6001249661299. The next prime is 6001249661317. The reversal of 6001249661312 is 2131669421006.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×6001249661312² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6001249661312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6001249661317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51895268 + ... + 52010780.

It is an arithmetic number, because the mean of its divisors is an integer number (192848890290).

Almost surely, 2^{6001249661312} is an apocalyptic number.

6001249661312 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

6001249661312 is an abundant number, since it is smaller than the sum of its proper divisors (6341079317248).

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

6001249661312 is a wasteful number, since it uses less digits than its factorization.

6001249661312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128651 (or 128639 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 41.

The spelling of 6001249661312 in words is "six trillion, one billion, two hundred forty-nine million, six hundred sixty-one thousand, three hundred twelve".