1272138588000 has 2304 divisors, whose sum is σ = 5670976147200. Its totient is φ = 275904921600.

The previous prime is 1272138587989. The next prime is 1272138588001. The reversal of 1272138588000 is 8858312721.

1272138588000 is a `hidden beast` number, since 12 + 7 + 21 + 38 + 588 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1272138588001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 14293691956 + ... + 14293692044.

It is an arithmetic number, because the mean of its divisors is an integer number (2461361175).

Almost surely, 2^{1272138588000} is an apocalyptic number.

1272138588000 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 1272138588000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2835488073600).

1272138588000 is an abundant number, since it is smaller than the sum of its proper divisors (4398837559200).

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

1272138588000 is a wasteful number, since it uses less digits than its factorization.

1272138588000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 1272138588000 in words is "one trillion, two hundred seventy-two billion, one hundred thirty-eight million, five hundred eighty-eight thousand".