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12000121224 = 23371331717333
BaseRepresentation
bin10110010110100001…
…10101000110001000
31010222022100022122020
423023100311012020
5144034012334344
65302432124440
7603242230110
oct131320650610
933868308566
1012000121224
1150a8834763
1223aa996720
1311931a7a60
1481ba50040
154a3796719
hex2cb435188

12000121224 has 128 divisors (see below), whose sum is σ = 37042064640. Its totient is φ = 3154701312.

The previous prime is 12000121141. The next prime is 12000121291. The reversal of 12000121224 is 42212100021.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 683662 + ... + 700994.

It is an arithmetic number, because the mean of its divisors is an integer number (289391130).

Almost surely, 212000121224 is an apocalyptic number.

12000121224 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 12000121224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18521032320).

12000121224 is an abundant number, since it is smaller than the sum of its proper divisors (25041943416).

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

12000121224 is a wasteful number, since it uses less digits than its factorization.

12000121224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17679 (or 17675 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12000121224 its reverse (42212100021), we get a palindrome (54212221245).

The spelling of 12000121224 in words is "twelve billion, one hundred twenty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 317 364 546 634 728 951 1092 1268 1902 2184 2219 2536 3804 4121 4438 6657 7608 8242 8876 12363 13314 16484 17333 17752 24726 26628 28847 32968 34666 49452 51999 53256 57694 69332 86541 98904 103998 115388 121331 138664 173082 207996 225329 230776 242662 346164 363993 415992 450658 485324 675987 692328 727986 901316 970648 1351974 1455972 1577303 1802632 2703948 2911944 3154606 4731909 5407896 5494561 6309212 9463818 10989122 12618424 16483683 18927636 21978244 32967366 37855272 38461927 43956488 65934732 71429293 76923854 115385781 131869464 142858586 153847708 214287879 230771562 285717172 307695416 428575758 461543124 500005051 571434344 857151516 923086248 1000010102 1500015153 1714303032 2000020204 3000030306 4000040408 6000060612 12000121224