1272127138600 has 48 divisors (see below), whose sum is σ = 2958941000700. Its totient is φ = 508636592640.

The previous prime is 1272127138571. The next prime is 1272127138603. The reversal of 1272127138600 is 68317212721.

It can be written as a sum of positive squares in 6 ways, for example, as 58855730404 + 1213271408196 = 242602^2 + 1101486^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1272127138603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 862555 + ... + 1813354.

Almost surely, 2^{1272127138600} is an apocalyptic number.

1272127138600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1272127138600 is an abundant number, since it is smaller than the sum of its proper divisors (1686813862100).

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

1272127138600 is a wasteful number, since it uses less digits than its factorization.

1272127138600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2678302 (or 2678293 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 40.

The spelling of 1272127138600 in words is "one trillion, two hundred seventy-two billion, one hundred twenty-seven million, one hundred thirty-eight thousand, six hundred".