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12472124224 = 267593891213
BaseRepresentation
bin10111001110110010…
…11000001101000000
31012012012111120000211
423213121120031000
5201020330433344
65421332523504
7621033210130
oct134731301500
935165446024
1012472124224
11532020958a
122500a80594
131239c09781
148645d8ac0
154cee2e334
hex2e7658340

12472124224 has 112 divisors (see below), whose sum is σ = 28862121600. Its totient is φ = 5236770816.

The previous prime is 12472124201. The next prime is 12472124237. The reversal of 12472124224 is 42242127421.

It is a tau number, because it is divible by the number of its divisors (112).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10281442 + ... + 10282654.

Almost surely, 212472124224 is an apocalyptic number.

12472124224 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 12472124224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14431060800).

12472124224 is an abundant number, since it is smaller than the sum of its proper divisors (16389997376).

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

12472124224 is a wasteful number, since it uses less digits than its factorization.

12472124224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680 (or 1670 counting only the distinct ones).

The product of its digits is 14336, while the sum is 31.

The spelling of 12472124224 in words is "twelve billion, four hundred seventy-two million, one hundred twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 64 112 118 224 236 389 413 448 472 778 826 944 1213 1556 1652 1888 2426 2723 3112 3304 3776 4852 5446 6224 6608 8491 9704 10892 12448 13216 16982 19408 21784 22951 24896 26432 33964 38816 43568 45902 67928 71567 77632 87136 91804 135856 143134 160657 174272 183608 271712 286268 321314 367216 471857 500969 543424 572536 642628 734432 943714 1001938 1145072 1285256 1468864 1887428 2003876 2290144 2570512 3302999 3774856 4007752 4580288 5141024 6605998 7549712 8015504 10282048 13211996 15099424 16031008 26423992 27839563 30198848 32062016 52847984 55679126 105695968 111358252 194876941 211391936 222716504 389753882 445433008 779507764 890866016 1559015528 1781732032 3118031056 6236062112 12472124224