272971811112 has 512 divisors, whose sum is σ = 949197312000. Its totient is φ = 64452326400.

The previous prime is 272971810987. The next prime is 272971811131. The reversal of 272971811112 is 211118179272.

272971811112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 78869062 + ... + 78872522.

It is an arithmetic number, because the mean of its divisors is an integer number (1853901000).

Almost surely, 2^272971811112 is an apocalyptic number.

272971811112 is a gapful number since it is divisible by the number (22) 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 272971811112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474598656000).

272971811112 is an abundant number, since it is smaller than the sum of its proper divisors (676225500888).

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

272971811112 is a wasteful number, since it uses less digits than its factorization.

272971811112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3582 (or 3564 counting only the distinct ones).

The product of its digits is 28224, while the sum is 42.

The spelling of 272971811112 in words is "two hundred seventy-two billion, nine hundred seventy-one million, eight hundred eleven thousand, one hundred twelve".