6012357944120 has 256 divisors, whose sum is σ = 15819244945920. Its totient is φ = 2032334438400.

The previous prime is 6012357944101. The next prime is 6012357944129. The reversal of 6012357944120 is 214497532106.

It is a Cunningham number, because it is equal to 2452011²-1.

It is a super-2 number, since 2×6012357944120² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6012357944129) 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, 269710175 + ... + 269732465.

It is an arithmetic number, because the mean of its divisors is an integer number (61793925570).

Almost surely, 2^{6012357944120} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6012357944120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7909622472960).

6012357944120 is an abundant number, since it is smaller than the sum of its proper divisors (9806887001800).

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

6012357944120 is a wasteful number, since it uses less digits than its factorization.

6012357944120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22774 (or 22770 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 44.

The spelling of 6012357944120 in words is "six trillion, twelve billion, three hundred fifty-seven million, nine hundred forty-four thousand, one hundred twenty".