12265011060480 has 1728 divisors, whose sum is σ = 47697564794880. Its totient is φ = 2897001676800.

The previous prime is 12265011060443. The next prime is 12265011060487. The reversal of 12265011060480 is 8406011056221.

It is a happy number.

12265011060480 is a `hidden beast` number, since 1 + 2 + 2 + 6 + 5 + 0 + 110 + 60 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12265011060487) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37054413915 + ... + 37054414245.

Almost surely, 2^{12265011060480} is an apocalyptic number.

12265011060480 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 12265011060480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23848782397440).

12265011060480 is an abundant number, since it is smaller than the sum of its proper divisors (35432553734400).

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

12265011060480 is a wasteful number, since it uses less digits than its factorization.

12265011060480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 12265011060480 in words is "twelve trillion, two hundred sixty-five billion, eleven million, sixty thousand, four hundred eighty".