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12211111000 = 2353115571993
BaseRepresentation
bin10110101111101011…
…01100010001011000
31011112000100201012101
423113311230101120
5200002021023000
65335410253144
7611413505464
oct132765542130
934460321171
1012211111000
1151a6943480
1224495871b4
1311c7b0c28a
1483ba934a4
154b7071e6a
hex2d7d6c458

12211111000 has 128 divisors (see below), whose sum is σ = 31243268160. Its totient is φ = 4430208000.

The previous prime is 12211110979. The next prime is 12211111021. The reversal of 12211111000 is 11111221.

It is an interprime number because it is at equal distance from previous prime (12211110979) and next prime (12211111021).

It is a super-2 number, since 2×122111110002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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, 6126004 + ... + 6127996.

Almost surely, 212211111000 is an apocalyptic number.

12211111000 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 12211111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15621634080).

12211111000 is an abundant number, since it is smaller than the sum of its proper divisors (19032157160).

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

12211111000 is a wasteful number, since it uses less digits than its factorization.

12211111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2582 (or 2568 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 12211111000 its reverse (11111221), we get a palindrome (12222222221).

The spelling of 12211111000 in words is "twelve billion, two hundred eleven million, one hundred eleven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 557 1000 1100 1114 1375 1993 2200 2228 2750 2785 3986 4456 5500 5570 6127 7972 9965 11000 11140 12254 13925 15944 19930 21923 22280 24508 27850 30635 39860 43846 49016 49825 55700 61270 69625 79720 87692 99650 109615 111400 122540 139250 153175 175384 199300 219230 245080 249125 278500 306350 398600 438460 498250 548075 557000 612700 765875 876920 996500 1096150 1110101 1225400 1531750 1993000 2192300 2220202 2740375 3063500 4384600 4440404 5480750 5550505 6127000 8880808 10961500 11101010 12211111 21923000 22202020 24422222 27752525 44404040 48844444 55505050 61055555 97688888 111010100 122111110 138762625 222020200 244222220 277525250 305277775 488444440 555050500 610555550 1110101000 1221111100 1526388875 2442222200 3052777750 6105555500 12211111000