Search a number
-
+
12120385536 = 211337173181
BaseRepresentation
bin10110100100110111…
…00110100000000000
31011021200122101021000
423102123212200000
5144310304314121
65322405532000
7606232401660
oct132233464000
934250571230
1012120385536
11515a707056
122423114000
1311b209507c
1482d9d81a0
154ae100526
hex2d26e6800

12120385536 has 384 divisors, whose sum is σ = 41497747200. Its totient is φ = 3423928320.

The previous prime is 12120385493. The next prime is 12120385547. The reversal of 12120385536 is 63558302121.

12120385536 is a `hidden beast` number, since 1 + 21 + 20 + 3 + 85 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12120385536.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66963366 + ... + 66963546.

It is an arithmetic number, because the mean of its divisors is an integer number (108067050).

Almost surely, 212120385536 is an apocalyptic number.

12120385536 is a gapful number since it is divisible by the number (16) 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 12120385536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20748873600).

12120385536 is an abundant number, since it is smaller than the sum of its proper divisors (29377361664).

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

12120385536 is a wasteful number, since it uses less digits than its factorization.

12120385536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 12120385536 its reverse (63558302121), we get a palindrome (75678687657).

The spelling of 12120385536 in words is "twelve billion, one hundred twenty million, three hundred eighty-five thousand, five hundred thirty-six".