12087377280 has 960 divisors, whose sum is σ = 49638536640. Its totient is φ = 2797977600.

The previous prime is 12087377261. The next prime is 12087377297. The reversal of 12087377280 is 8277378021.

It is a happy number.

12087377280 is a `hidden beast` number, since 120 + 87 + 377 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×12087377280² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 257178217 + ... + 257178263.

It is an arithmetic number, because the mean of its divisors is an integer number (51706809).

Almost surely, 2^12087377280 is an apocalyptic number.

12087377280 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 12087377280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24819268320).

12087377280 is an abundant number, since it is smaller than the sum of its proper divisors (37551159360).

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

12087377280 is a wasteful number, since it uses less digits than its factorization.

12087377280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The spelling of 12087377280 in words is "twelve billion, eighty-seven million, three hundred seventy-seven thousand, two hundred eighty".