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12202110120 = 2335375714813
BaseRepresentation
bin10110101110100110…
…10110110010101000
31011111101102102022110
423113103112302220
5144442220010440
65334445322320
7611244140034
oct132723266250
934441372273
1012202110120
1151a1855a32
1224465663a0
1311c5caa405
1483a7cd1c4
154b6395080
hex2d74d6ca8

12202110120 has 128 divisors (see below), whose sum is σ = 37669357440. Its totient is φ = 3159751680.

The previous prime is 12202110097. The next prime is 12202110143. The reversal of 12202110120 is 2101120221.

It is an interprime number because it is at equal distance from previous prime (12202110097) and next prime (12202110143).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12202110096 and 12202110105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2532834 + ... + 2537646.

It is an arithmetic number, because the mean of its divisors is an integer number (294291855).

Almost surely, 212202110120 is an apocalyptic number.

12202110120 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 12202110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18834678720).

12202110120 is an abundant number, since it is smaller than the sum of its proper divisors (25467247320).

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

12202110120 is a wasteful number, since it uses less digits than its factorization.

12202110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5435 (or 5431 counting only the distinct ones).

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

Adding to 12202110120 its reverse (2101120221), we get a palindrome (14303230341).

The spelling of 12202110120 in words is "twelve billion, two hundred two million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 571 740 888 1110 1142 1480 1713 2220 2284 2855 3426 4440 4568 4813 5710 6852 8565 9626 11420 13704 14439 17130 19252 21127 22840 24065 28878 34260 38504 42254 48130 57756 63381 68520 72195 84508 96260 105635 115512 126762 144390 169016 178081 192520 211270 253524 288780 316905 356162 422540 507048 534243 577560 633810 712324 845080 890405 1068486 1267620 1424648 1780810 2136972 2535240 2671215 2748223 3561620 4273944 5342430 5496446 7123240 8244669 10684860 10992892 13741115 16489338 21369720 21985784 27482230 32978676 41223345 54964460 65957352 82446690 101684251 109928920 164893380 203368502 305052753 329786760 406737004 508421255 610105506 813474008 1016842510 1220211012 1525263765 2033685020 2440422024 3050527530 4067370040 6101055060 12202110120