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12200312102120 = 235714327992809
BaseRepresentation
bin1011000110001001101101…
…0001001101110011101000
31121012100010201122012220122
42301202123101031303220
53044342214344231440
641540425045342412
72366305051542152
oct261423321156350
947170121565818
1012200312102120
11398413a135a3a
121450603a07a08
136a663b58616c
143026d9303ad2
151625589947b5
hexb189b44dce8

12200312102120 has 64 divisors (see below), whose sum is σ = 27843793286400. Its totient is φ = 4810273896960.

The previous prime is 12200312102089. The next prime is 12200312102183. The reversal of 12200312102120 is 2120121300221.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11792276 + ... + 12785084.

It is an arithmetic number, because the mean of its divisors is an integer number (435059270100).

Almost surely, 212200312102120 is an apocalyptic number.

12200312102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12200312102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13921896643200).

12200312102120 is an abundant number, since it is smaller than the sum of its proper divisors (15643481184280).

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

12200312102120 is a wasteful number, since it uses less digits than its factorization.

12200312102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997218 (or 997214 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 12200312102120 its reverse (2120121300221), we get a palindrome (14320433402341).

The spelling of 12200312102120 in words is "twelve trillion, two hundred billion, three hundred twelve million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 71 142 284 355 568 710 1420 2840 4327 8654 17308 21635 34616 43270 86540 173080 307217 614434 992809 1228868 1536085 1985618 2457736 3072170 3971236 4964045 6144340 7942472 9928090 12288680 19856180 39712360 70489439 140978878 281957756 352447195 563915512 704894390 1409788780 2819577560 4295884543 8591769086 17183538172 21479422715 34367076344 42958845430 85917690860 171835381720 305007802553 610015605106 1220031210212 1525039012765 2440062420424 3050078025530 6100156051060 12200312102120