12275877888 has 288 divisors, whose sum is σ = 38957798880. Its totient is φ = 3848601600.

The previous prime is 12275877881. The next prime is 12275877899. The reversal of 12275877888 is 88877857221.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (12275877881) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 8459563 + ... + 8461013.

It is an arithmetic number, because the mean of its divisors is an integer number (135270135).

Almost surely, 2^12275877888 is an apocalyptic number.

12275877888 is a gapful number since it is divisible by the number (18) 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 12275877888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19478899440).

12275877888 is an abundant number, since it is smaller than the sum of its proper divisors (26681920992).

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

12275877888 is an equidigital number, since it uses as much as digits as its factorization.

12275877888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1505 (or 1473 counting only the distinct ones).

The product of its digits is 28098560, while the sum is 63.

The spelling of 12275877888 in words is "twelve billion, two hundred seventy-five million, eight hundred seventy-seven thousand, eight hundred eighty-eight".