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12120200121210 = 23516724110038181
BaseRepresentation
bin1011000001011111010000…
…1110010000101101111010
31120220200100120210220222120
42300113310032100231322
53042034132212334320
641435535411502110
72360440600125456
oct260276416205572
946820316726876
1012120200121210
113953169aa4a55
121438b865b7936
1369bc121a446c
142dc899739666
1516041a756440
hexb05f4390b7a

12120200121210 has 64 divisors (see below), whose sum is σ = 29384087572224. Its totient is φ = 3199368729600.

The previous prime is 12120200121209. The next prime is 12120200121217. The reversal of 12120200121210 is 1212100202121.

12120200121210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12120200121210.

It is not an unprimeable number, because it can be changed into a prime (12120200121217) 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, 3811681 + ... + 6226500.

It is an arithmetic number, because the mean of its divisors is an integer number (459126368316).

Almost surely, 212120200121210 is an apocalyptic number.

12120200121210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12120200121210 is an abundant number, since it is smaller than the sum of its proper divisors (17263887451014).

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

12120200121210 is a wasteful number, since it uses less digits than its factorization.

12120200121210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10038599.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12120200121210 its reverse (1212100202121), we get a palindrome (13332300323331).

The spelling of 12120200121210 in words is "twelve trillion, one hundred twenty billion, two hundred million, one hundred twenty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 167 241 334 482 501 723 835 1002 1205 1446 1670 2410 2505 3615 5010 7230 40247 80494 120741 201235 241482 402470 603705 1207410 10038181 20076362 30114543 50190905 60229086 100381810 150572715 301145430 1676376227 2419201621 3352752454 4838403242 5029128681 7257604863 8381881135 10058257362 12096008105 14515209726 16763762270 24192016210 25145643405 36288024315 50291286810 72576048630 404006670707 808013341414 1212020012121 2020033353535 2424040024242 4040066707070 6060100060605 12120200121210