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12472261120 = 295111812447
BaseRepresentation
bin10111001110110011…
…11001101000000000
31012012012202111211001
423213121321220000
5201020344323440
65421335501344
7621034320214
oct134731715000
935165674731
1012472261120
1153202a2420
122500b27854
131239c56b87
14864632944
154cee59b9a
hex2e7679a00

12472261120 has 160 divisors (see below), whose sum is σ = 32816399616. Its totient is φ = 4508467200.

The previous prime is 12472261111. The next prime is 12472261141. The reversal of 12472261120 is 2116227421.

It is a tau number, because it is divible by the number of its divisors (160).

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, 5095737 + ... + 5098183.

Almost surely, 212472261120 is an apocalyptic number.

12472261120 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 12472261120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16408199808).

12472261120 is an abundant number, since it is smaller than the sum of its proper divisors (20344138496).

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

12472261120 is a wasteful number, since it uses less digits than its factorization.

12472261120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2662 (or 2646 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

Adding to 12472261120 its reverse (2116227421), we get a palindrome (14588488541).

The spelling of 12472261120 in words is "twelve billion, four hundred seventy-two million, two hundred sixty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 181 220 256 320 352 362 440 512 640 704 724 880 905 1280 1408 1448 1760 1810 1991 2447 2560 2816 2896 3520 3620 3982 4894 5632 5792 7040 7240 7964 9788 9955 11584 12235 14080 14480 15928 19576 19910 23168 24470 26917 28160 28960 31856 39152 39820 46336 48940 53834 57920 63712 78304 79640 92672 97880 107668 115840 127424 134585 156608 159280 195760 215336 231680 254848 269170 313216 318560 391520 430672 442907 463360 509696 538340 626432 637120 783040 861344 885814 1019392 1076680 1252864 1274240 1566080 1722688 1771628 2153360 2214535 2548480 3132160 3445376 3543256 4306720 4429070 4871977 5096960 6264320 6890752 7086512 8613440 8858140 9743954 13781504 14173024 17226880 17716280 19487908 24359885 28346048 34453760 35432560 38975816 48719770 56692096 68907520 70865120 77951632 97439540 113384192 141730240 155903264 194879080 226768384 283460480 311806528 389758160 566920960 623613056 779516320 1133841920 1247226112 1559032640 2494452224 3118065280 6236130560 12472261120