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12210100002200 = 2352176315691293
BaseRepresentation
bin1011000110101110001010…
…1011000101110110011000
31121020021101212022001122102
42301223202223011312120
53100022241100032300
641545124214142532
72400102442403042
oct261534253056630
947207355261572
1012210100002200
113988302153161
121452495951a48
136a753b340a09
14302d87214a92
1516292ce080d5
hexb1ae2ac5d98

12210100002200 has 96 divisors (see below), whose sum is σ = 30106034652960. Its totient is φ = 4589457868800.

The previous prime is 12210100002193. The next prime is 12210100002209. The reversal of 12210100002200 is 220000101221.

It is a happy number.

12210100002200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12210100002209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 700247 + ... + 4991046.

It is an arithmetic number, because the mean of its divisors is an integer number (313604527635).

Almost surely, 212210100002200 is an apocalyptic number.

12210100002200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12210100002200 is an abundant number, since it is smaller than the sum of its proper divisors (17895934650760).

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

12210100002200 is a wasteful number, since it uses less digits than its factorization.

12210100002200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5691957 (or 5691948 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12210100002200 its reverse (220000101221), we get a palindrome (12430100103421).

The spelling of 12210100002200 in words is "twelve trillion, two hundred ten billion, one hundred million, two thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 631 680 850 1262 1700 2524 3155 3400 5048 6310 10727 12620 15775 21454 25240 31550 42908 53635 63100 85816 107270 126200 214540 268175 429080 536350 1072700 2145400 5691293 11382586 22765172 28456465 45530344 56912930 96751981 113825860 142282325 193503962 227651720 284564650 387007924 483759905 569129300 774015848 967519810 1138258600 1935039620 2418799525 3591205883 3870079240 4837599050 7182411766 9675198100 14364823532 17956029415 19350396200 28729647064 35912058830 61050500011 71824117660 89780147075 122101000022 143648235320 179560294150 244202000044 305252500055 359120588300 488404000088 610505000110 718241176600 1221010000220 1526262500275 2442020000440 3052525000550 6105050001100 12210100002200