12271520000 has 90 divisors (see below), whose sum is σ = 30609481518. Its totient is φ = 4908544000.

The previous prime is 12271519979. The next prime is 12271520033. The reversal of 12271520000 is 2517221.

It can be written as a sum of positive squares in 5 ways, for example, as 6026727424 + 6244792576 = 77632^2 + 79024^2 .

It is a super-2 number, since 2×12271520000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 121652 + ... + 198348.

Almost surely, 2^12271520000 is an apocalyptic number.

12271520000 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 12271520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15304740759).

12271520000 is an abundant number, since it is smaller than the sum of its proper divisors (18337961518).

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

12271520000 is an frugal number, since it uses more digits than its factorization.

12271520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76733 (or 76704 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The spelling of 12271520000 in words is "twelve billion, two hundred seventy-one million, five hundred twenty thousand".