127121811700 has 72 divisors (see below), whose sum is σ = 297289019160. Its totient is φ = 46903296000.

The previous prime is 127121811689. The next prime is 127121811737. The reversal of 127121811700 is 7118121721.

It can be written as a sum of positive squares in 12 ways, for example, as 87902762256 + 39219049444 = 296484^2 + 198038^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1797000 + ... + 1866400.

It is an arithmetic number, because the mean of its divisors is an integer number (4129014155).

Almost surely, 2^127121811700 is an apocalyptic number.

127121811700 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 127121811700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148644509580).

127121811700 is an abundant number, since it is smaller than the sum of its proper divisors (170167207460).

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

127121811700 is a wasteful number, since it uses less digits than its factorization.

127121811700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70837 (or 70830 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 31.

The spelling of 127121811700 in words is "one hundred twenty-seven billion, one hundred twenty-one million, eight hundred eleven thousand, seven hundred".