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20012120201220 = 22357293162620837
BaseRepresentation
bin1001000110011011011110…
…10100001101100000000100
32121212010210001202112002020
410203031233110031200010
510110334310232414340
6110321235140043140
74133553665025330
oct443155724154004
977763701675066
1020012120201220
116416102158664
1222b25966934b0
13b2219a312c34
144d283dc087c0
1524a863e4b9d0
hex12336f50d804

20012120201220 has 96 divisors (see below), whose sum is σ = 64257347443968. Its totient is φ = 4558587274752.

The previous prime is 20012120201201. The next prime is 20012120201221. The reversal of 20012120201220 is 2210202121002.

It is a super-2 number, since 2×200121202012202 (a number of 27 digits) contains 22 as substring.

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 20012120201220.

It is not an unprimeable number, because it can be changed into a prime (20012120201221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81187359 + ... + 81433478.

It is an arithmetic number, because the mean of its divisors is an integer number (669347369208).

Almost surely, 220012120201220 is an apocalyptic number.

20012120201220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20012120201220 is an abundant number, since it is smaller than the sum of its proper divisors (44245227242748).

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

20012120201220 is a wasteful number, since it uses less digits than its factorization.

20012120201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162621149 (or 162621147 counting only the distinct ones).

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

Adding to 20012120201220 its reverse (2210202121002), we get a palindrome (22222322322222).

The spelling of 20012120201220 in words is "twenty trillion, twelve billion, one hundred twenty million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 293 420 586 879 1172 1465 1758 2051 2930 3516 4102 4395 5860 6153 8204 8790 10255 12306 17580 20510 24612 30765 41020 61530 123060 162620837 325241674 487862511 650483348 813104185 975725022 1138345859 1626208370 1951450044 2276691718 2439312555 3252416740 3415037577 4553383436 4878625110 5691729295 6830075154 9757250220 11383458590 13660150308 17075187885 22766917180 34150375770 47647905241 68300751540 95295810482 142943715723 190591620964 238239526205 285887431446 333535336687 476479052410 571774862892 667070673374 714718578615 952958104820 1000606010061 1334141346748 1429437157230 1667676683435 2001212020122 2858874314460 3335353366870 4002424040244 5003030050305 6670706733740 10006060100610 20012120201220