127129842 has 48 divisors (see below), whose sum is σ = 333320832. Its totient is φ = 34185600.

The previous prime is 127129841. The next prime is 127129897. The reversal of 127129842 is 248921721.

It is a junction number, because it is equal to n+sod(n) for n = 127129797 and 127129806.

It is not an unprimeable number, because it can be changed into a prime (127129841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27534 + ... + 31817.

It is an arithmetic number, because the mean of its divisors is an integer number (6944184).

Almost surely, 2^127129842 is an apocalyptic number.

127129842 is an abundant number, since it is smaller than the sum of its proper divisors (206190990).

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

127129842 is a wasteful number, since it uses less digits than its factorization.

127129842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59383 (or 59380 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 127129842 is about 11275.1870051011. The cubic root of 127129842 is about 502.8238114883.

It can be divided in two parts, 1271 and 29842, that added together give a palindrome (31113).

The spelling of 127129842 in words is "one hundred twenty-seven million, one hundred twenty-nine thousand, eight hundred forty-two".