1231272000 has 504 divisors, whose sum is σ = 5138242200. Its totient is φ = 280627200.

The previous prime is 1231271939. The next prime is 1231272011. The reversal of 1231272000 is 2721321.

It can be written as a sum of positive squares in 4 ways, for example, as 10188864 + 1221083136 = 3192^2 + 34944^2 .

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3527826 + ... + 3528174.

It is an arithmetic number, because the mean of its divisors is an integer number (10194925).

Almost surely, 2^1231272000 is an apocalyptic number.

1231272000 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 1231272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2569121100).

1231272000 is an abundant number, since it is smaller than the sum of its proper divisors (3906970200).

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

1231272000 is a wasteful number, since it uses less digits than its factorization.

1231272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 366 counting only the distinct ones).

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

The square root of 1231272000 is about 35089.4856046651. The cubic root of 1231272000 is about 1071.8104848022.

Adding to 1231272000 its reverse (2721321), we get a palindrome (1233993321).

The spelling of 1231272000 in words is "one billion, two hundred thirty-one million, two hundred seventy-two thousand".