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12101163360 = 25351113176299
BaseRepresentation
bin10110100010100100…
…10001100101100000
31011020100110210101120
423101102101211200
5144240344211420
65320441532240
7605610122436
oct132122214540
934210423346
1012101163360
11514a878160
1224187a4080
1311ab0c49c0
1482b232d56
154ac5a4d40
hex2d1491960

12101163360 has 192 divisors, whose sum is σ = 44783020800. Its totient is φ = 2707937280.

The previous prime is 12101163343. The next prime is 12101163439. The reversal of 12101163360 is 6336110121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12101163360.

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, 19510 + ... + 156789.

It is an arithmetic number, because the mean of its divisors is an integer number (233244900).

Almost surely, 212101163360 is an apocalyptic number.

12101163360 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 12101163360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22391510400).

12101163360 is an abundant number, since it is smaller than the sum of its proper divisors (32681857440).

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

12101163360 is a wasteful number, since it uses less digits than its factorization.

12101163360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176341 (or 176333 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 12101163360 its reverse (6336110121), we get a palindrome (18437273481).

The spelling of 12101163360 in words is "twelve billion, one hundred one million, one hundred sixty-three thousand, three hundred sixty".