27121211212172 has 24 divisors (see below), whose sum is σ = 59173551736320. Its totient is φ = 10566705666960.

The previous prime is 27121211212111. The next prime is 27121211212181.

27121211212172 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44027939972 + ... + 44027940587.

It is an arithmetic number, because the mean of its divisors is an integer number (2465564655680).

Almost surely, 2^{27121211212172} is an apocalyptic number.

27121211212172 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

27121211212172 is an abundant number, since it is smaller than the sum of its proper divisors (32052340524148).

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

27121211212172 is a wasteful number, since it uses less digits than its factorization.

27121211212172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88055880581 (or 88055880579 counting only the distinct ones).

The product of its digits is 3136, while the sum is 32.

It can be divided in two parts, 2712121 and 1212172, that added together give a palindrome (3924293).

The spelling of 27121211212172 in words is "twenty-seven trillion, one hundred twenty-one billion, two hundred eleven million, two hundred twelve thousand, one hundred seventy-two".