12123377280 has 768 divisors, whose sum is σ = 52929676800. Its totient is φ = 2491416576.

The previous prime is 12123377269. The next prime is 12123377281. The reversal of 12123377280 is 8277332121.

12123377280 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 3 + 377 + 280 = 666.

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 (12123377281) 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 95 ways as a sum of consecutive naturals, for example, 15764736 + ... + 15765504.

It is an arithmetic number, because the mean of its divisors is an integer number (68918850).

Almost surely, 2^12123377280 is an apocalyptic number.

12123377280 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 12123377280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26464838400).

12123377280 is an abundant number, since it is smaller than the sum of its proper divisors (40806299520).

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

12123377280 is a wasteful number, since it uses less digits than its factorization.

12123377280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

It can be divided in two parts, 12123 and 377280, that added together give a triangular number (389403 = T₈₈₂).

The spelling of 12123377280 in words is "twelve billion, one hundred twenty-three million, three hundred seventy-seven thousand, two hundred eighty".