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1220010012 = 2234131631777
BaseRepresentation
bin100100010110111…
…1110000000011100
310011000122221010000
41020231332000130
54444310310022
6321021014300
742142625334
oct11055760034
93130587100
101220010012
11576733641
122a06b4390
131659ac320
14b805c0c4
157218e6ac
hex48b7e01c

1220010012 has 120 divisors (see below), whose sum is σ = 3457697936. Its totient is φ = 372874752.

The previous prime is 1220009993. The next prime is 1220010059. The reversal of 1220010012 is 2100100221.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1220009976 and 1220010003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 685668 + ... + 687444.

Almost surely, 21220010012 is an apocalyptic number.

1220010012 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 1220010012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728848968).

1220010012 is an abundant number, since it is smaller than the sum of its proper divisors (2237687924).

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

1220010012 is a wasteful number, since it uses less digits than its factorization.

1220010012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1969 (or 1958 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1220010012 is about 34928.6417142150. The cubic root of 1220010012 is about 1068.5326531244.

Adding to 1220010012 its reverse (2100100221), we get a palindrome (3320110233).

The spelling of 1220010012 in words is "one billion, two hundred twenty million, ten thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 163 234 324 326 351 468 489 652 702 978 1053 1404 1467 1777 1956 2106 2119 2934 3554 4212 4238 4401 5331 5868 6357 7108 8476 8802 10662 12714 13203 15993 17604 19071 21324 23101 25428 26406 31986 38142 46202 47979 52812 57213 63972 69303 76284 92404 95958 114426 138606 143937 171639 191916 207909 228852 277212 287874 289651 343278 415818 575748 579302 623727 686556 831636 868953 1158604 1247454 1737906 1871181 2494908 2606859 3475812 3742362 3765463 5213718 7484724 7530926 7820577 10427436 11296389 15061852 15641154 22592778 23461731 31282308 33889167 45185556 46923462 67778334 93846924 101667501 135556668 203335002 305002503 406670004 610005006 1220010012