127997719200 has 864 divisors, whose sum is σ = 518317044336. Its totient is φ = 29444014080.

The previous prime is 127997719193. The next prime is 127997719207. The reversal of 127997719200 is 2917799721.

It is an interprime number because it is at equal distance from previous prime (127997719193) and next prime (127997719207).

It can be written as a sum of positive squares in 24 ways, for example, as 5662863504 + 122334855696 = 75252^2 + 349764^2 .

It is a super-2 number, since 2×127997719200² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (127997719207) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 408938244 + ... + 408938556.

Almost surely, 2^127997719200 is an apocalyptic number.

127997719200 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 127997719200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259158522168).

127997719200 is an abundant number, since it is smaller than the sum of its proper divisors (390319325136).

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

127997719200 is a wasteful number, since it uses less digits than its factorization.

127997719200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 1000188, while the sum is 54.

The spelling of 127997719200 in words is "one hundred twenty-seven billion, nine hundred ninety-seven million, seven hundred nineteen thousand, two hundred".