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12211000000 = 265612211
BaseRepresentation
bin10110101111101010…
…10001001011000000
31011112000011001221021
423113311101023000
5200002004000000
65335404035224
7611412534043
oct132765211300
934460131837
1012211000000
1151a6878041
122449532b14
1311c7aa08b4
1483ba64c5a
154b704e11a
hex2d7d512c0

12211000000 has 98 divisors (see below), whose sum is σ = 30291096644. Its totient is φ = 4884000000.

The previous prime is 12210999979. The next prime is 12211000003. The reversal of 12211000000 is 11221.

It is not an unprimeable number, because it can be changed into a prime (12211000003) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 993895 + ... + 1006105.

Almost surely, 212211000000 is an apocalyptic number.

12211000000 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 12211000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15145548322).

12211000000 is an abundant number, since it is smaller than the sum of its proper divisors (18080096644).

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

12211000000 is an frugal number, since it uses more digits than its factorization.

12211000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12253 (or 12218 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 12211000000 its reverse (11221), we get a palindrome (12211011221).

The spelling of 12211000000 in words is "twelve billion, two hundred eleven million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3125 4000 5000 6250 8000 10000 12211 12500 15625 20000 24422 25000 31250 40000 48844 50000 61055 62500 97688 100000 122110 125000 195376 200000 244220 250000 305275 390752 488440 500000 610550 781504 976880 1000000 1221100 1526375 1953760 2442200 3052750 3907520 4884400 6105500 7631875 9768800 12211000 15263750 19537600 24422000 30527500 38159375 48844000 61055000 76318750 97688000 122110000 152637500 190796875 244220000 305275000 381593750 488440000 610550000 763187500 1221100000 1526375000 2442200000 3052750000 6105500000 12211000000