12155465140 has 192 divisors, whose sum is σ = 32127943680. Its totient is φ = 3761049600.

The previous prime is 12155465131. The next prime is 12155465177. The reversal of 12155465140 is 4156455121.

12155465140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12155465096 and 12155465105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16359609 + ... + 16360351.

It is an arithmetic number, because the mean of its divisors is an integer number (167333040).

Almost surely, 2^12155465140 is an apocalyptic number.

12155465140 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 12155465140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16063971840).

12155465140 is an abundant number, since it is smaller than the sum of its proper divisors (19972478540).

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

12155465140 is a wasteful number, since it uses less digits than its factorization.

12155465140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 34.

The spelling of 12155465140 in words is "twelve billion, one hundred fifty-five million, four hundred sixty-five thousand, one hundred forty".