Search a number
-
+
12720108754560 = 2735231093263537
BaseRepresentation
bin1011100100011010000110…
…0100000101011010000000
31200001000211020202001222210
42321012201210011122000
53131401240320121220
643015312015502120
72451666103306434
oct271064144053200
950030736661883
1012720108754560
114064627863419
1215152aa827940
13713668c2195c
1431d9297d89c4
15170d2c5776e0
hexb91a1905680

12720108754560 has 256 divisors, whose sum is σ = 42347056815360. Its totient is φ = 3241568698368.

The previous prime is 12720108754523. The next prime is 12720108754571. The reversal of 12720108754560 is 6545780102721.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48135112 + ... + 48398648.

It is an arithmetic number, because the mean of its divisors is an integer number (165418190685).

Almost surely, 212720108754560 is an apocalyptic number.

12720108754560 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 12720108754560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21173528407680).

12720108754560 is an abundant number, since it is smaller than the sum of its proper divisors (29626948060800).

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

12720108754560 is a wasteful number, since it uses less digits than its factorization.

12720108754560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264675 (or 264663 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 48.

The spelling of 12720108754560 in words is "twelve trillion, seven hundred twenty billion, one hundred eight million, seven hundred fifty-four thousand, five hundred sixty".