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12153508080 = 24357171922397
BaseRepresentation
bin10110101000110011…
…11101000011110000
31011100222222011211220
423110121331003300
5144342244224310
65325551505040
7610114054110
oct132431750360
934328864756
1012153508080
11517737a55a
122432228180
1311b8bc13cc
1483417b040
154b1e94670
hex2d467d0f0

12153508080 has 320 divisors, whose sum is σ = 47992642560. Its totient is φ = 2476818432.

The previous prime is 12153508049. The next prime is 12153508121. The reversal of 12153508080 is 8080535121.

It is a happy number.

12153508080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 531442 + ... + 553838.

It is an arithmetic number, because the mean of its divisors is an integer number (149977008).

Almost surely, 212153508080 is an apocalyptic number.

12153508080 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 12153508080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23996321280).

12153508080 is an abundant number, since it is smaller than the sum of its proper divisors (35839134480).

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

12153508080 is a wasteful number, since it uses less digits than its factorization.

12153508080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22456 (or 22450 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 33.

The spelling of 12153508080 in words is "twelve billion, one hundred fifty-three million, five hundred eight thousand, eighty".