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12202120211022 = 233739451818249
BaseRepresentation
bin1011000110010000011100…
…0010100110101001001110
31121012111210201220200001000
42301210013002212221032
53044404420233223042
641541324315401130
72366400625321530
oct261440702465116
947174721820030
1012202120211022
113984987828a15
121450a294531a6
136a68690550a1
1430282b4cb850
151626125a074c
hexb19070a6a4e

12202120211022 has 64 divisors (see below), whose sum is σ = 30990335040000. Its totient is φ = 3486227428800.

The previous prime is 12202120211011. The next prime is 12202120211051. The reversal of 12202120211022 is 22011202120221.

It is a happy number.

12202120211022 is a `hidden beast` number, since 1 + 220 + 212 + 0 + 211 + 0 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12202120210986 and 12202120211004.

It is a congruent number.

It is an unprimeable number.

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, 14503354 + ... + 15321602.

It is an arithmetic number, because the mean of its divisors is an integer number (484223985000).

Almost surely, 212202120211022 is an apocalyptic number.

12202120211022 is an abundant number, since it is smaller than the sum of its proper divisors (18788214828978).

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

12202120211022 is a wasteful number, since it uses less digits than its factorization.

12202120211022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857718 (or 857712 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12202120211022 its reverse (22011202120221), we get a palindrome (34213322331243).

The spelling of 12202120211022 in words is "twelve trillion, two hundred two billion, one hundred twenty million, two hundred eleven thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 39451 78902 118353 236706 276157 355059 552314 710118 818249 828471 1065177 1636498 1656942 2130354 2454747 2485413 4909494 4970826 5727743 7364241 7456239 11455486 14728482 14912478 17183229 22092723 34366458 44185446 51549687 103099374 154649061 309298122 32280741299 64561482598 96842223897 193684447794 225965189093 290526671691 451930378186 581053343382 677895567279 871580015073 1355791134558 1743160030146 2033686701837 4067373403674 6101060105511 12202120211022