12271532000 has 192 divisors, whose sum is σ = 37110213504. Its totient is φ = 3883622400.

The previous prime is 12271531973. The next prime is 12271532023. The reversal of 12271532000 is 23517221.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 347144 + ... + 380856.

It is an arithmetic number, because the mean of its divisors is an integer number (193282362).

Almost surely, 2^12271532000 is an apocalyptic number.

12271532000 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 12271532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18555106752).

12271532000 is an abundant number, since it is smaller than the sum of its proper divisors (24838681504).

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

12271532000 is a wasteful number, since it uses less digits than its factorization.

12271532000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33758 (or 33740 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The spelling of 12271532000 in words is "twelve billion, two hundred seventy-one million, five hundred thirty-two thousand".