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12221121212202 = 2374322952356501
BaseRepresentation
bin1011000111010111001110…
…0101101010111100101010
31121021022211221122112112110
42301311303211222330222
53100212324012242302
641554150001023150
72400642530214450
oct261656345527452
947238757575473
1012221121212202
113991a48358381
121454650924ab6
136a85a6783456
14303710c469d0
15162d75786b6c
hexb1d7396af2a

12221121212202 has 128 divisors (see below), whose sum is σ = 28763839272960. Its totient is φ = 3389099616000.

The previous prime is 12221121212191. The next prime is 12221121212231. The reversal of 12221121212202 is 20221212112221.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 216270952 + ... + 216327452.

It is an arithmetic number, because the mean of its divisors is an integer number (224717494320).

Almost surely, 212221121212202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12221121212202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14381919636480).

12221121212202 is an abundant number, since it is smaller than the sum of its proper divisors (16542718060758).

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

12221121212202 is a wasteful number, since it uses less digits than its factorization.

12221121212202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57308.

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 12221121212202 its reverse (20221212112221), we get a palindrome (32442333324423).

The spelling of 12221121212202 in words is "twelve trillion, two hundred twenty-one billion, one hundred twenty-one million, two hundred twelve thousand, two hundred two".

Divisors: 1 2 3 6 7 14 21 42 43 86 129 229 258 301 458 523 602 687 903 1046 1374 1569 1603 1806 3138 3206 3661 4809 7322 9618 9847 10983 19694 21966 22489 29541 44978 56501 59082 67467 68929 113002 119767 134934 137858 157423 169503 206787 239534 314846 339006 359301 395507 413574 472269 718602 791014 838369 944538 1186521 1676738 2373042 2429543 2515107 4859086 5030214 5149981 7288629 10299962 12938729 14577258 15449943 17006801 25877458 29550023 30899886 34013602 36049867 38816187 51020403 59100046 72099734 77632374 88650069 90571103 102040806 108149601 177300138 181142206 206850161 216299202 271713309 413700322 543426618 556365347 620550483 1112730694 1241100966 1270650989 1669096041 2541301978 3338192082 3811952967 3894557429 6766955267 7623905934 7789114858 8894556923 11683672287 13533910534 17789113846 20300865801 23367344574 26683670769 40601731602 47368686869 53367341538 94737373738 142106060607 284212121214 290979076481 581958152962 872937229443 1745874458886 2036853535367 4073707070734 6110560606101 12221121212202