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12000112200102 = 23131093733784037
BaseRepresentation
bin1010111010011111111001…
…1011001100100110100110
31120111012101110012110101210
42232213332123030212212
53033102212210400402
641304435254532250
72345656652466345
oct256477633144646
946435343173353
1012000112200102
113907245549464
121419851367086
136907b4a15490
142d6b46867b5c
1515c23cbd506c
hexae9fe6cc9a6

12000112200102 has 64 divisors (see below), whose sum is σ = 26153454317760. Its totient is φ = 3648658328064.

The previous prime is 12000112200079. The next prime is 12000112200107. The reversal of 12000112200102 is 20100221100021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000112200107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1279228 + ... + 5063264.

It is an arithmetic number, because the mean of its divisors is an integer number (408647723715).

Almost surely, 212000112200102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12000112200102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13076727158880).

12000112200102 is an abundant number, since it is smaller than the sum of its proper divisors (14153342117658).

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

12000112200102 is a wasteful number, since it uses less digits than its factorization.

12000112200102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3784537.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12000112200102 its reverse (20100221100021), we get a palindrome (32100333300123).

The spelling of 12000112200102 in words is "twelve trillion, one hundred twelve million, two hundred thousand, one hundred two".

Divisors: 1 2 3 6 13 26 39 78 109 218 327 373 654 746 1119 1417 2238 2834 4251 4849 8502 9698 14547 29094 40657 81314 121971 243942 528541 1057082 1585623 3171246 3784037 7568074 11352111 22704222 49192481 98384962 147577443 295154886 412460033 824920066 1237380099 1411445801 2474760198 2822891602 4234337403 5361980429 8468674806 10723960858 16085941287 18348795413 32171882574 36697590826 55046386239 110092772478 153847592309 307695184618 461542776927 923085553854 2000018700017 4000037400034 6000056100051 12000112200102