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12212112112002 = 232112313611970333
BaseRepresentation
bin1011000110110101101010…
…0110101011100110000010
31121020110121002102211101200
42301231122212223212002
53100040401200041002
641550100012442030
72400203344142265
oct261553246534602
947213532384350
1012212112112002
113989144a11020
121452957779316
136a779c16802a
143030d8542cdc
151629e98adb1c
hexb1b5a9ab982

12212112112002 has 96 divisors (see below), whose sum is σ = 30142138006656. Its totient is φ = 3537140006400.

The previous prime is 12212112111973. The next prime is 12212112112069. The reversal of 12212112112002 is 20021121121221.

12212112112002 is a `hidden beast` number, since 1 + 221 + 211 + 211 + 20 + 0 + 2 = 666.

12212112112002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122121121120022 (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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5212828 + ... + 7183160.

It is an arithmetic number, because the mean of its divisors is an integer number (313980604236).

Almost surely, 212212112112002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12212112112002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15071069003328).

12212112112002 is an abundant number, since it is smaller than the sum of its proper divisors (17930025894654).

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

12212112112002 is a wasteful number, since it uses less digits than its factorization.

12212112112002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1971736 (or 1971733 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12212112112002 its reverse (20021121121221), we get a palindrome (32233233233223).

The spelling of 12212112112002 in words is "twelve trillion, two hundred twelve billion, one hundred twelve million, one hundred twelve thousand, two".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 99 138 198 207 253 414 506 759 1361 1518 2277 2722 4083 4554 8166 12249 14971 24498 29942 31303 44913 62606 89826 93909 134739 187818 269478 281727 344333 563454 688666 1032999 1970333 2065998 3098997 3940666 5910999 6197994 11821998 17732997 21673663 35465994 43347326 45317659 65020989 90635318 130041978 135952977 195062967 271905954 390125934 407858931 498494249 815717862 996988498 1495482747 2681623213 2990965494 4486448241 5363246426 8044869639 8972896482 16089739278 24134608917 29497855343 48269217834 58995710686 61677333899 88493566029 123354667798 176987132058 185032001697 265480698087 370064003394 530961396174 555096005091 678450672889 1110192010182 1356901345778 2035352018667 4070704037334 6106056056001 12212112112002