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12220200221022 = 2332915495037733
BaseRepresentation
bin1011000111010011110010…
…1100010111100101011110
31121021020110202122100011000
42301310330230113211132
53100203432224033042
641553514341011130
72400610645011123
oct261647454274536
947236422570130
1012220200221022
113991615499042
1214544343b3aa6
136a848aa1a461
143036647c474a
15162d1e9b074c
hexb1d3cb1795e

12220200221022 has 64 divisors (see below), whose sum is σ = 28110555720000. Its totient is φ = 3930398204544.

The previous prime is 12220200221011. The next prime is 12220200221039. The reversal of 12220200221022 is 22012200202221.

12220200221022 is a `hidden beast` number, since 1 + 2 + 220 + 200 + 221 + 0 + 22 = 666.

It is a super-2 number, since 2×122202002210222 (a number of 27 digits) contains 22 as substring.

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 = 12220200220986 and 12220200221004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93133 + ... + 4944600.

It is an arithmetic number, because the mean of its divisors is an integer number (439227433125).

Almost surely, 212220200221022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12220200221022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14055277860000).

12220200221022 is an abundant number, since it is smaller than the sum of its proper divisors (15890355498978).

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

12220200221022 is a wasteful number, since it uses less digits than its factorization.

12220200221022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5039322 (or 5039316 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12220200221022 its reverse (22012200202221), we get a palindrome (34232400423243).

The spelling of 12220200221022 in words is "twelve trillion, two hundred twenty billion, two hundred million, two hundred twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 261 522 783 1549 1566 3098 4647 9294 13941 27882 41823 44921 83646 89842 134763 269526 404289 808578 1212867 2425734 5037733 10075466 15113199 30226398 45339597 90679194 136018791 146094257 272037582 292188514 438282771 876565542 1314848313 2629696626 3944544939 7803448417 7889089878 15606896834 23410345251 46820690502 70231035753 140462071506 210693107259 226300004093 421386214518 452600008186 678900012279 1357800024558 2036700036837 4073400073674 6110100110511 12220200221022