1271275334400 has 216 divisors, whose sum is σ = 4254569190144. Its totient is φ = 334231654400.

The previous prime is 1271275334347. The next prime is 1271275334401. The reversal of 1271275334400 is 44335721721.

It is a super-2 number, since 2×1271275334400² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1271275334401) 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, 896917 + ... + 1829483.

It is an arithmetic number, because the mean of its divisors is an integer number (19697079584).

Almost surely, 2^{1271275334400} is an apocalyptic number.

1271275334400 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 1271275334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2127284595072).

1271275334400 is an abundant number, since it is smaller than the sum of its proper divisors (2983293855744).

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

1271275334400 is an equidigital number, since it uses as much as digits as its factorization.

1271275334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932667 (or 932648 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The spelling of 1271275334400 in words is "one trillion, two hundred seventy-one billion, two hundred seventy-five million, three hundred thirty-four thousand, four hundred".