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12130372224 = 2732232232053
BaseRepresentation
bin10110100110000011…
…01100101010000000
31011022101102202102100
423103001230222000
5144320333402344
65323403550400
7606413314455
oct132301545200
934271382370
1012130372224
115165308213
12242652b400
1311b4180859
1483107782c
154aee24569
hex2d306ca80

12130372224 has 192 divisors, whose sum is σ = 36605237760. Its totient is φ = 3848435712.

The previous prime is 12130372207. The next prime is 12130372277. The reversal of 12130372224 is 42227303121.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 5907582 + ... + 5909634.

It is an arithmetic number, because the mean of its divisors is an integer number (190652280).

Almost surely, 212130372224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12130372224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18302618880).

12130372224 is an abundant number, since it is smaller than the sum of its proper divisors (24474865536).

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

12130372224 is a wasteful number, since it uses less digits than its factorization.

12130372224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2319 (or 2304 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 12130372224 its reverse (42227303121), we get a palindrome (54357675345).

The spelling of 12130372224 in words is "twelve billion, one hundred thirty million, three hundred seventy-two thousand, two hundred twenty-four".