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121224012 = 223713313581
BaseRepresentation
bin1110011100110…
…11101101001100
322110002211002020
413032123231030
5222013132022
620010130140
73001246530
oct716335514
9273084066
10121224012
1162478438
1234720950
131c1650b0
1412157bc0
15a99835c
hex739bb4c

121224012 has 96 divisors (see below), whose sum is σ = 359460864. Its totient is φ = 30931200.

The previous prime is 121224001. The next prime is 121224013. The reversal of 121224012 is 210422121.

It is a super-2 number, since 2×1212240122 = 29390522170752288, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121223982 and 121224000.

It is not an unprimeable number, because it can be changed into a prime (121224013) 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, 32062 + ... + 35642.

It is an arithmetic number, because the mean of its divisors is an integer number (3744384).

Almost surely, 2121224012 is an apocalyptic number.

121224012 is a gapful number since it is divisible by the number (12) 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 121224012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179730432).

121224012 is an abundant number, since it is smaller than the sum of its proper divisors (238236852).

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

121224012 is a wasteful number, since it uses less digits than its factorization.

121224012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3639 (or 3637 counting only the distinct ones).

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

The square root of 121224012 is about 11010.1776552424. The cubic root of 121224012 is about 494.9137856175.

Adding to 121224012 its reverse (210422121), we get a palindrome (331646133).

The spelling of 121224012 in words is "one hundred twenty-one million, two hundred twenty-four thousand, twelve".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 31 39 42 52 62 78 84 91 93 124 156 182 186 217 273 364 372 403 434 546 651 806 868 1092 1209 1302 1612 2418 2604 2821 3581 4836 5642 7162 8463 10743 11284 14324 16926 21486 25067 33852 42972 46553 50134 75201 93106 100268 111011 139659 150402 186212 222022 279318 300804 325871 333033 444044 558636 651742 666066 777077 977613 1303484 1332132 1443143 1554154 1955226 2331231 2886286 3108308 3910452 4329429 4662462 5772572 8658858 9324924 10102001 17317716 20204002 30306003 40408004 60612006 121224012