Search a number
-
+
12108036708480 = 27351719127715289
BaseRepresentation
bin1011000000110001111100…
…1110100001100010000000
31120212111221220012112111210
42300030133032201202000
53041334224344132410
641430204423410120
72356530302616666
oct260143716414200
946774856175453
1012108036708480
113948a9807aa39
121436750bb3940
1369aa24225a1b
142dc064140c36
1515ee579a7220
hexb031f3a1880

12108036708480 has 512 divisors, whose sum is σ = 43051893984000. Its totient is φ = 2876496150528.

The previous prime is 12108036708457. The next prime is 12108036708503. The reversal of 12108036708480 is 8480763080121.

It is an interprime number because it is at equal distance from previous prime (12108036708457) and next prime (12108036708503).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 791936676 + ... + 791951964.

Almost surely, 212108036708480 is an apocalyptic number.

12108036708480 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 12108036708480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21525946992000).

12108036708480 is an abundant number, since it is smaller than the sum of its proper divisors (30943857275520).

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

12108036708480 is a wasteful number, since it uses less digits than its factorization.

12108036708480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16624 (or 16612 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The spelling of 12108036708480 in words is "twelve trillion, one hundred eight billion, thirty-six million, seven hundred eight thousand, four hundred eighty".