1271011652820 has 384 divisors, whose sum is σ = 4958615854080. Its totient is φ = 263109150720.

The previous prime is 1271011652809. The next prime is 1271011652851. The reversal of 1271011652820 is 282561101721.

It is a happy number.

1271011652820 is a `hidden beast` number, since 1 + 2 + 7 + 10 + 116 + 528 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2360410 + ... + 2848430.

It is an arithmetic number, because the mean of its divisors is an integer number (12913062120).

Almost surely, 2^{1271011652820} is an apocalyptic number.

1271011652820 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 1271011652820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2479307927040).

1271011652820 is an abundant number, since it is smaller than the sum of its proper divisors (3687604201260).

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

1271011652820 is a wasteful number, since it uses less digits than its factorization.

1271011652820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488112 (or 488104 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 1271011652820 in words is "one trillion, two hundred seventy-one billion, eleven million, six hundred fifty-two thousand, eight hundred twenty".