12265906380 has 576 divisors, whose sum is σ = 45880934400. Its totient is φ = 2432457216.

The previous prime is 12265906349. The next prime is 12265906423. The reversal of 12265906380 is 8360956221.

12265906380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 96581877 + ... + 96582003.

It is an arithmetic number, because the mean of its divisors is an integer number (79654400).

Almost surely, 2^12265906380 is an apocalyptic number.

12265906380 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 12265906380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22940467200).

12265906380 is an abundant number, since it is smaller than the sum of its proper divisors (33615028020).

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

12265906380 is a wasteful number, since it uses less digits than its factorization.

12265906380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 12265906380 in words is "twelve billion, two hundred sixty-five million, nine hundred six thousand, three hundred eighty".