27442122124472 has 32 divisors (see below), whose sum is σ = 56132790929280. Its totient is φ = 12473430209760.

The previous prime is 27442122124471. The next prime is 27442122124499.

It is a happy number.

27442122124472 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×27442122124472² (a number of 28 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 (27442122124471) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 979223 + ... + 7472825.

It is an arithmetic number, because the mean of its divisors is an integer number (1754149716540).

Almost surely, 2^{27442122124472} is an apocalyptic number.

27442122124472 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

27442122124472 is an abundant number, since it is smaller than the sum of its proper divisors (28690668804808).

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

27442122124472 is a wasteful number, since it uses less digits than its factorization.

27442122124472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6541643 (or 6541639 counting only the distinct ones).

The product of its digits is 802816, while the sum is 44.

It can be divided in two parts, 2744212 and 2124472, that added together give a palindrome (4868684).

The spelling of 27442122124472 in words is "twenty-seven trillion, four hundred forty-two billion, one hundred twenty-two million, one hundred twenty-four thousand, four hundred seventy-two".