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12121222020 = 22351716217331
BaseRepresentation
bin10110100100111101…
…10010101110000100
31011021202012212200220
423102132302232010
5144311013101040
65322435504340
7606242454465
oct132236625604
934252185626
1012121222020
115160128566
1224234580b0
1311b22c8a2b
1482db74d6c
154ae2182d0
hex2d27b2b84

12121222020 has 96 divisors (see below), whose sum is σ = 35962932096. Its totient is φ = 3039897600.

The previous prime is 12121222013. The next prime is 12121222063. The reversal of 12121222020 is 2022212121.

12121222020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 31 ways as a sum of consecutive naturals, for example, 1649755 + ... + 1657085.

It is an arithmetic number, because the mean of its divisors is an integer number (374613876).

Almost surely, 212121222020 is an apocalyptic number.

12121222020 is a gapful number since it is divisible by the number (10) 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 12121222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17981466048).

12121222020 is an abundant number, since it is smaller than the sum of its proper divisors (23841710076).

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

12121222020 is a wasteful number, since it uses less digits than its factorization.

12121222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8981 (or 8979 counting only the distinct ones).

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

Adding to 12121222020 its reverse (2022212121), we get a palindrome (14143434141).

The spelling of 12121222020 in words is "twelve billion, one hundred twenty-one million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 1621 3242 4863 6484 7331 8105 9726 14662 16210 19452 21993 24315 27557 29324 32420 36655 43986 48630 55114 73310 82671 87972 97260 109965 110228 124627 137785 146620 165342 219930 249254 275570 330684 373881 413355 439860 498508 551140 623135 747762 826710 1246270 1495524 1653420 1869405 2492540 3738810 7477620 11883551 23767102 35650653 47534204 59417755 71301306 118835510 142602612 178253265 202020367 237671020 356506530 404040734 606061101 713013060 808081468 1010101835 1212122202 2020203670 2424244404 3030305505 4040407340 6060611010 12121222020