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12220021222002 = 23211292341909091
BaseRepresentation
bin1011000111010011001000…
…0001100010101001110010
31121021020000021211020122200
42301310302001202221302
53100203100413101002
641553444504244030
72400603342362106
oct261646201425162
947236007736580
1012220021222002
11399153344a470
1214543a4470616
136a845c907089
14303648b0b906
15162d0de03b1c
hexb1d32062a72

12220021222002 has 96 divisors (see below), whose sum is σ = 29892472234560. Its totient is φ = 3573814608000.

The previous prime is 12220021221893. The next prime is 12220021222067. The reversal of 12220021222002 is 20022212002221.

12220021222002 is a `hidden beast` number, since 12 + 220 + 0 + 212 + 220 + 0 + 2 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 12987477 + ... + 13896567.

It is an arithmetic number, because the mean of its divisors is an integer number (311379919110).

Almost surely, 212220021222002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12220021222002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14946236117280).

12220021222002 is an abundant number, since it is smaller than the sum of its proper divisors (17672451012558).

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

12220021222002 is a wasteful number, since it uses less digits than its factorization.

12220021222002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911480 (or 911477 counting only the distinct ones).

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

Adding to 12220021222002 its reverse (20022212002221), we get a palindrome (32242233224223).

The spelling of 12220021222002 in words is "twelve trillion, two hundred twenty billion, twenty-one million, two hundred twenty-two thousand, two".

Divisors: 1 2 3 6 9 11 18 22 29 33 58 66 87 99 174 198 261 319 522 638 957 1914 2341 2871 4682 5742 7023 14046 21069 25751 42138 51502 67889 77253 135778 154506 203667 231759 407334 463518 611001 746779 909091 1222002 1493558 1818182 2240337 2727273 4480674 5454546 6721011 8181819 10000001 13442022 16363638 20000002 26363639 30000003 52727278 60000006 79090917 90000009 158181834 180000018 237272751 290000029 474545502 580000058 870000087 1740000174 2128182031 2610000261 4256364062 5220000522 6384546093 12769092186 19153638279 23410002341 38307276558 46820004682 61717278899 70230007023 123434557798 140460014046 185151836697 210690021069 370303673394 421380042138 555455510091 678890067889 1110911020182 1357780135778 2036670203667 4073340407334 6110010611001 12220021222002