127229813340 has 96 divisors (see below), whose sum is σ = 407499456000. Its totient is φ = 29055096576.

The previous prime is 127229813329. The next prime is 127229813341. The reversal of 127229813340 is 43318922721.

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

It is a junction number, because it is equal to n+sod(n) for n = 127229813292 and 127229813301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127229813341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 336786 + ... + 606534.

It is an arithmetic number, because the mean of its divisors is an integer number (4244786000).

Almost surely, 2^127229813340 is an apocalyptic number.

127229813340 is a gapful number since it is divisible by the number (10) 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 127229813340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203749728000).

127229813340 is an abundant number, since it is smaller than the sum of its proper divisors (280269642660).

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

127229813340 is a wasteful number, since it uses less digits than its factorization.

127229813340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270891 (or 270889 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 127229813340 in words is "one hundred twenty-seven billion, two hundred twenty-nine million, eight hundred thirteen thousand, three hundred forty".