1271107557100 has 72 divisors (see below), whose sum is σ = 2841413342768. Its totient is φ = 493206278400.

The previous prime is 1271107557091. The next prime is 1271107557101. The reversal of 1271107557100 is 17557011721.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 1271107557100.

It is not an unprimeable number, because it can be changed into a prime (1271107557101) 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, 705754 + ... + 1743646.

Almost surely, 2^{1271107557100} is an apocalyptic number.

1271107557100 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 1271107557100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420706671384).

1271107557100 is an abundant number, since it is smaller than the sum of its proper divisors (1570305785668).

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

1271107557100 is a wasteful number, since it uses less digits than its factorization.

1271107557100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038275 (or 1038268 counting only the distinct ones).

The product of its (nonzero) digits is 17150, while the sum is 37.

The spelling of 1271107557100 in words is "one trillion, two hundred seventy-one billion, one hundred seven million, five hundred fifty-seven thousand, one hundred".