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12200021022 = 2376771227269
BaseRepresentation
bin10110101110010110…
…11000110000011110
31011111020111021121110
423113023120300132
5144441201133042
65334332442450
7611220316260
oct132713306036
934436437543
1012200021022
1151a0659402
122445919426
1311c5728567
1483a407b30
154b60d109c
hex2d72d8c1e

12200021022 has 128 divisors (see below), whose sum is σ = 28934184960. Its totient is φ = 3357889920.

The previous prime is 12200020999. The next prime is 12200021027. The reversal of 12200021022 is 22012000221.

It is a super-3 number, since 3×122000210223 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12200020989 and 12200021007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200021027) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45353104 + ... + 45353372.

It is an arithmetic number, because the mean of its divisors is an integer number (226048320).

Almost surely, 212200021022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12200021022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14467092480).

12200021022 is an abundant number, since it is smaller than the sum of its proper divisors (16734163938).

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

12200021022 is a wasteful number, since it uses less digits than its factorization.

12200021022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12200021022 its reverse (22012000221), we get a palindrome (34212021243).

The spelling of 12200021022 in words is "twelve billion, two hundred million, twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 7 14 21 42 67 71 134 142 201 213 227 269 402 426 454 469 497 538 681 807 938 994 1362 1407 1491 1589 1614 1883 2814 2982 3178 3766 4757 4767 5649 9514 9534 11298 14271 15209 16117 18023 19099 28542 30418 32234 33299 36046 38198 45627 48351 54069 57297 61063 66598 91254 96702 99897 106463 108138 112819 114594 122126 126161 133693 183189 199794 212926 225638 252322 267386 319389 338457 366378 378483 401079 427441 638778 676914 756966 802158 854882 1079839 1279633 1282323 2159678 2559266 2564646 3239517 3838899 4091221 4335473 6479034 7558873 7677798 8182442 8670946 8957431 12273663 13006419 15117746 17914862 22676619 24547326 26012838 26872293 28638547 30348311 45353238 53744586 57277094 60696622 85915641 91044933 171831282 182089866 290476691 580953382 871430073 1742860146 2033336837 4066673674 6100010511 12200021022