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12221011002120 = 2335234427902537
BaseRepresentation
bin1011000111010110110100…
…0001010000001100001000
31121021022120021021021201120
42301311231001100030020
53100212112304031440
641554131022515240
72400640021356324
oct261655501201410
947238507237646
1012221011002120
1139919a1122968
12145461ba35b20
136a85899a659b
14303700358984
15162d6ac66dd0
hexb1d6d050308

12221011002120 has 64 divisors (see below), whose sum is σ = 38257077928320. Its totient is φ = 3117243385344.

The previous prime is 12221011002107. The next prime is 12221011002203. The reversal of 12221011002120 is 2120011012221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12221011002120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2213948509 + ... + 2213954028.

It is an arithmetic number, because the mean of its divisors is an integer number (597766842630).

Almost surely, 212221011002120 is an apocalyptic number.

12221011002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12221011002120 is an abundant number, since it is smaller than the sum of its proper divisors (26036066926200).

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

12221011002120 is a wasteful number, since it uses less digits than its factorization.

12221011002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4427902574 (or 4427902570 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12221011002120 its reverse (2120011012221), we get a palindrome (14341022014341).

The spelling of 12221011002120 in words is "twelve trillion, two hundred twenty-one billion, eleven million, two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 4427902537 8855805074 13283707611 17711610148 22139512685 26567415222 35423220296 44279025370 53134830444 66418538055 88558050740 101841758351 106269660888 132837076110 177116101480 203683516702 265674152220 305525275053 407367033404 509208791755 531348304440 611050550106 814734066808 1018417583510 1222101100212 1527626375265 2036835167020 2444202200424 3055252750530 4073670334040 6110505501060 12221011002120