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12220333412 = 2272367713989
BaseRepresentation
bin10110110000110001…
…10111110101100100
31011112122201020222012
423120120313311210
5200011401132122
65340340053352
7611555056130
oct133030676544
934478636865
1012220333412
115201072401
122450694258
1311c99bac21
1483cdb43c0
154b7c947e2
hex2d8637d64

12220333412 has 96 divisors (see below), whose sum is σ = 26255093760. Its totient is φ = 4864083840.

The previous prime is 12220333387. The next prime is 12220333423. The reversal of 12220333412 is 21433302221.

It is a Harshad number since it is a multiple of its sum of digits (23).

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, 3061514 + ... + 3065502.

It is an arithmetic number, because the mean of its divisors is an integer number (273490560).

Almost surely, 212220333412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12220333412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13127546880).

12220333412 is an abundant number, since it is smaller than the sum of its proper divisors (14034760348).

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

12220333412 is a wasteful number, since it uses less digits than its factorization.

12220333412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4161 (or 4159 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 12220333412 its reverse (21433302221), we get a palindrome (33653635633).

The spelling of 12220333412 in words is "twelve billion, two hundred twenty million, three hundred thirty-three thousand, four hundred twelve".

Divisors: 1 2 4 7 14 23 28 46 67 71 92 134 142 161 268 284 322 469 497 644 938 994 1541 1633 1876 1988 3082 3266 3989 4757 6164 6532 7978 9514 10787 11431 15956 19028 21574 22862 27923 33299 43148 45724 55846 66598 91747 109411 111692 133196 183494 218822 267263 283219 366988 437644 534526 566438 642229 765877 1069052 1132876 1284458 1531754 1870841 1982533 2568916 3063508 3741682 3965066 6147049 6514037 7483364 7930132 12294098 13028074 18975673 24588196 26056148 37951346 43029343 45598259 75902692 86058686 91196518 132829711 172117372 182393036 265659422 436440479 531318844 872880958 1745761916 3055083353 6110166706 12220333412