1272312000 has 336 divisors, whose sum is σ = 4673096064. Its totient is φ = 330240000.

The previous prime is 1272311941. The next prime is 1272312053. The reversal of 1272312000 is 2132721.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2951785 + ... + 2952215.

It is an arithmetic number, because the mean of its divisors is an integer number (13908024).

Almost surely, 2^1272312000 is an apocalyptic number.

1272312000 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 1272312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2336548032).

1272312000 is an abundant number, since it is smaller than the sum of its proper divisors (3400784064).

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

1272312000 is a wasteful number, since it uses less digits than its factorization.

1272312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 1272312000 is about 35669.4827548704. The cubic root of 1272312000 is about 1083.5888838285.

Adding to 1272312000 its reverse (2132721), we get a palindrome (1274444721).

The spelling of 1272312000 in words is "one billion, two hundred seventy-two million, three hundred twelve thousand".