1272215444000 has 96 divisors (see below), whose sum is σ = 3126436303536. Its totient is φ = 508788019200.

The previous prime is 1272215443997. The next prime is 1272215444021. The reversal of 1272215444000 is 4445122721.

It can be written as a sum of positive squares in 8 ways, for example, as 38987536 + 1272176456464 = 6244^2 + 1127908^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22840184 + ... + 22895816.

Almost surely, 2^{1272215444000} is an apocalyptic number.

1272215444000 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 1272215444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1563218151768).

1272215444000 is an abundant number, since it is smaller than the sum of its proper divisors (1854220859536).

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

1272215444000 is an equidigital number, since it uses as much as digits as its factorization.

1272215444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61375 (or 61357 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 32.

The spelling of 1272215444000 in words is "one trillion, two hundred seventy-two billion, two hundred fifteen million, four hundred forty-four thousand".