1271147973120 has 320 divisors, whose sum is σ = 4517397118080. Its totient is φ = 338809651200.

The previous prime is 1271147973107. The next prime is 1271147973211. The reversal of 1271147973120 is 213797411721.

1271147973120 is a `hidden beast` number, since 127 + 1 + 1 + 479 + 7 + 31 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 31 ways as a sum of consecutive naturals, for example, 230235960 + ... + 230241480.

It is an arithmetic number, because the mean of its divisors is an integer number (14116865994).

Almost surely, 2^{1271147973120} is an apocalyptic number.

1271147973120 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 1271147973120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2258698559040).

1271147973120 is an abundant number, since it is smaller than the sum of its proper divisors (3246249144960).

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

1271147973120 is an equidigital number, since it uses as much as digits as its factorization.

1271147973120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8884 (or 8862 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The spelling of 1271147973120 in words is "one trillion, two hundred seventy-one billion, one hundred forty-seven million, nine hundred seventy-three thousand, one hundred twenty".