12149105760 has 672 divisors, whose sum is σ = 49796625312. Its totient is φ = 2767011840.

The previous prime is 12149105737. The next prime is 12149105767. The reversal of 12149105760 is 6750194121.

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 (12149105767) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 21811402 + ... + 21811958.

It is an arithmetic number, because the mean of its divisors is an integer number (74102121).

Almost surely, 2^12149105760 is an apocalyptic number.

12149105760 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 12149105760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24898312656).

12149105760 is an abundant number, since it is smaller than the sum of its proper divisors (37647519552).

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

12149105760 is a wasteful number, since it uses less digits than its factorization.

12149105760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

Adding to 12149105760 its reverse (6750194121), we get a palindrome (18899299881).

The spelling of 12149105760 in words is "twelve billion, one hundred forty-nine million, one hundred five thousand, seven hundred sixty".