12267285120 has 192 divisors, whose sum is σ = 42418925640. Its totient is φ = 3266764800.

The previous prime is 12267285109. The next prime is 12267285127. The reversal of 12267285120 is 2158276221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2121155136 + 10146129984 = 46056^2 + 100728^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (12267285127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7492942 + ... + 7494578.

Almost surely, 2^12267285120 is an apocalyptic number.

12267285120 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 12267285120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21209462820).

12267285120 is an abundant number, since it is smaller than the sum of its proper divisors (30151640520).

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

12267285120 is a wasteful number, since it uses less digits than its factorization.

12267285120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2963 (or 2948 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 12267285120 in words is "twelve billion, two hundred sixty-seven million, two hundred eighty-five thousand, one hundred twenty".