12277120960 has 336 divisors, whose sum is σ = 33813890208. Its totient is φ = 4216872960.

The previous prime is 12277120951. The next prime is 12277120969. The reversal of 12277120960 is 6902177221.

It is an interprime number because it is at equal distance from previous prime (12277120951) and next prime (12277120969).

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12277120969) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147917079 + ... + 147917161.

It is an arithmetic number, because the mean of its divisors is an integer number (100636578).

Almost surely, 2^12277120960 is an apocalyptic number.

12277120960 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 12277120960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16906945104).

12277120960 is an abundant number, since it is smaller than the sum of its proper divisors (21536769248).

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

12277120960 is a wasteful number, since it uses less digits than its factorization.

12277120960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 37.

The spelling of 12277120960 in words is "twelve billion, two hundred seventy-seven million, one hundred twenty thousand, nine hundred sixty".