127198493100 has 288 divisors, whose sum is σ = 494828328960. Its totient is φ = 27363640320.

The previous prime is 127198493069. The next prime is 127198493129. The reversal of 127198493100 is 1394891721.

127198493100 is a `hidden beast` number, since 1 + 2 + 71 + 98 + 493 + 1 + 0 + 0 = 666.

It is a super-2 number, since 2×127198493100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 123357 + ... + 519243.

It is an arithmetic number, because the mean of its divisors is an integer number (1718153920).

Almost surely, 2^127198493100 is an apocalyptic number.

127198493100 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 127198493100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247414164480).

127198493100 is an abundant number, since it is smaller than the sum of its proper divisors (367629835860).

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

127198493100 is a wasteful number, since it uses less digits than its factorization.

127198493100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395934 (or 395921 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 127198493100 in words is "one hundred twenty-seven billion, one hundred ninety-eight million, four hundred ninety-three thousand, one hundred".