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12053254224 = 24311297111087
BaseRepresentation
bin10110011100110111…
…00001000001010000
31011010000022202102010
423032123201001100
5144141113113344
65312011022520
7604455653604
oct131633410120
934100282363
1012053254224
115125825330
12240473aa40
1311a11bc1bb
14824b21504
154a828e8b9
hex2ce6e1050

12053254224 has 160 divisors (see below), whose sum is σ = 35637719040. Its totient is φ = 3476569600.

The previous prime is 12053254193. The next prime is 12053254229. The reversal of 12053254224 is 42245235021.

It is a junction number, because it is equal to n+sod(n) for n = 12053254191 and 12053254200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12053254229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1081609 + ... + 1092695.

It is an arithmetic number, because the mean of its divisors is an integer number (222735744).

Almost surely, 212053254224 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 12053254224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17818859520).

12053254224 is an abundant number, since it is smaller than the sum of its proper divisors (23584464816).

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

12053254224 is a wasteful number, since it uses less digits than its factorization.

12053254224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11209 (or 11203 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 12053254224 its reverse (42245235021), we get a palindrome (54298489245).

The spelling of 12053254224 in words is "twelve billion, fifty-three million, two hundred fifty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 33 44 48 58 66 71 87 88 116 132 142 174 176 213 232 264 284 319 348 426 464 528 568 638 696 781 852 957 1136 1276 1392 1562 1704 1914 2059 2343 2552 3124 3408 3828 4118 4686 5104 6177 6248 7656 8236 9372 11087 12354 12496 15312 16472 18744 22174 22649 24708 32944 33261 37488 44348 45298 49416 66522 67947 88696 90596 98832 121957 133044 135894 177392 181192 243914 266088 271788 321523 362384 365871 487828 532176 543576 643046 731742 787177 964569 975656 1087152 1286092 1463484 1574354 1929138 1951312 2361531 2572184 2926968 3148708 3536753 3858276 4723062 5144368 5853936 6297416 7073506 7716552 8658947 9446124 10610259 12594832 14147012 15433104 17317894 18892248 21220518 22828133 25976841 28294024 34635788 37784496 42441036 45656266 51953682 56588048 68484399 69271576 84882072 91312532 103907364 136968798 138543152 169764144 182625064 207814728 251109463 273937596 365250128 415629456 502218926 547875192 753328389 1004437852 1095750384 1506656778 2008875704 3013313556 4017751408 6026627112 12053254224