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12101313224 = 23721113613539
BaseRepresentation
bin10110100010100101…
…10110001011001000
31011020100202101222002
423101102312023020
5144240414010344
65320445050132
7605611315400
oct132122661310
934210671862
1012101313224
11514a96a810
122418856948
1311ab147c90
1482b271800
154ac5d444e
hex2d14b62c8

12101313224 has 192 divisors, whose sum is σ = 31526107200. Its totient is φ = 4279564800.

The previous prime is 12101313193. The next prime is 12101313239. The reversal of 12101313224 is 42231310121.

It is a junction number, because it is equal to n+sod(n) for n = 12101313196 and 12101313205.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3417647 + ... + 3421185.

It is an arithmetic number, because the mean of its divisors is an integer number (164198475).

Almost surely, 212101313224 is an apocalyptic number.

12101313224 is a gapful number since it is divisible by the number (14) 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 12101313224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15763053600).

12101313224 is an abundant number, since it is smaller than the sum of its proper divisors (19424793976).

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

12101313224 is a wasteful number, since it uses less digits than its factorization.

12101313224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3644 (or 3633 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 12101313224 its reverse (42231310121), we get a palindrome (54332623345).

The spelling of 12101313224 in words is "twelve billion, one hundred one million, three hundred thirteen thousand, two hundred twenty-four".