12205263120 has 80 divisors (see below), whose sum is σ = 37852702272. Its totient is φ = 3253327360.

The previous prime is 12205263097. The next prime is 12205263121. The reversal of 12205263120 is 2136250221.

12205263120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (12205263121) by changing a digit.

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, 619339 + ... + 638741.

Almost surely, 2^12205263120 is an apocalyptic number.

12205263120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12205263120 is an abundant number, since it is smaller than the sum of its proper divisors (25647439152).

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

12205263120 is a wasteful number, since it uses less digits than its factorization.

12205263120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22040 (or 22034 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The spelling of 12205263120 in words is "twelve billion, two hundred five million, two hundred sixty-three thousand, one hundred twenty".