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12220211200 = 2135259669
BaseRepresentation
bin10110110000110000…
…11010000000000000
31011112122111001022211
423120120122000000
5200011333224300
65340333311504
7611554036621
oct133030320000
934478431284
1012220211200
115200a995aa
122450635594
1311c9977402
1483cd81a48
154b7c6d4ba
hex2d861a000

12220211200 has 84 divisors (see below), whose sum is σ = 30304781910. Its totient is φ = 4888002560.

The previous prime is 12220211173. The next prime is 12220211231. The reversal of 12220211200 is 211202221.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 10630434816 + 1589776384 = 103104^2 + 39872^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 174966 + ... + 234634.

Almost surely, 212220211200 is an apocalyptic number.

12220211200 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 12220211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15152390955).

12220211200 is an abundant number, since it is smaller than the sum of its proper divisors (18084570710).

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

12220211200 is an frugal number, since it uses more digits than its factorization.

12220211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59705 (or 59676 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12220211200 its reverse (211202221), we get a palindrome (12431413421).

It can be divided in two parts, 1222021 and 1200, that added together give a palindrome (1223221).

The spelling of 12220211200 in words is "twelve billion, two hundred twenty million, two hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 1024 1280 1600 2048 2560 3200 4096 5120 6400 8192 10240 12800 20480 25600 40960 51200 59669 102400 119338 204800 238676 298345 477352 596690 954704 1193380 1491725 1909408 2386760 2983450 3818816 4773520 5966900 7637632 9547040 11933800 15275264 19094080 23867600 30550528 38188160 47735200 61101056 76376320 95470400 122202112 152752640 190940800 244404224 305505280 381881600 488808448 611010560 763763200 1222021120 1527526400 2444042240 3055052800 6110105600 12220211200