131224122144 has 48 divisors (see below), whose sum is σ = 382737025440. Its totient is φ = 43741373760.

The previous prime is 131224122143. The next prime is 131224122151. The reversal of 131224122144 is 441221422131.

131224122144 is a `hidden beast` number, since 1 + 31 + 2 + 2 + 412 + 214 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is not an unprimeable number, because it can be changed into a prime (131224122143) 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, 75939022 + ... + 75940749.

It is an arithmetic number, because the mean of its divisors is an integer number (7973688030).

Almost surely, 2^131224122144 is an apocalyptic number.

It is an amenable number.

131224122144 is an abundant number, since it is smaller than the sum of its proper divisors (251512903296).

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

131224122144 is a wasteful number, since it uses less digits than its factorization.

131224122144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151879790 (or 151879776 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 131224122144 its reverse (441221422131), we get a palindrome (572445544275).

The spelling of 131224122144 in words is "one hundred thirty-one billion, two hundred twenty-four million, one hundred twenty-two thousand, one hundred forty-four".