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12210332032002 = 23132935331527887
BaseRepresentation
bin1011000110101111000010…
…0000001101110000000010
31121020022000000220101200210
42301223300200031300002
53100023230000011002
641545203223254550
72400111260541546
oct261536040156002
947208000811623
1012210332032002
113988411122625
12145253b5aa456
136a7577430b60
14302da9d73a26
1516294348c96c
hexb1af080dc02

12210332032002 has 64 divisors (see below), whose sum is σ = 27213763207680. Its totient is φ = 3626443532544.

The previous prime is 12210332031979. The next prime is 12210332032009. The reversal of 12210332032002 is 20023023301221.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12210332032002.

It is not an unprimeable number, because it can be changed into a prime (12210332032009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7227703 + ... + 8755589.

It is an arithmetic number, because the mean of its divisors is an integer number (425215050120).

Almost surely, 212210332032002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12210332032002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13606881603840).

12210332032002 is an abundant number, since it is smaller than the sum of its proper divisors (15003431175678).

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

12210332032002 is a wasteful number, since it uses less digits than its factorization.

12210332032002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531467.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 12210332032002 its reverse (20023023301221), we get a palindrome (32233355333223).

The spelling of 12210332032002 in words is "twelve trillion, two hundred ten billion, three hundred thirty-two million, thirty-two thousand, two".

Divisors: 1 2 3 6 13 26 29 39 58 78 87 174 377 754 1131 2262 3533 7066 10599 21198 45929 91858 102457 137787 204914 275574 307371 614742 1331941 1527887 2663882 3055774 3995823 4583661 7991646 9167322 19862531 39725062 44308723 59587593 88617446 119175186 132926169 265852338 576013399 1152026798 1728040197 3456080394 5398024771 10796049542 16194074313 32388148626 70174322023 140348644046 156542718359 210522966069 313085436718 421045932138 469628155077 939256310154 2035055338667 4070110677334 6105166016001 12210332032002