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12211121100 = 22352371100101
BaseRepresentation
bin10110101111101011…
…01110101111001100
31011112000101020001110
423113311232233030
5200002021333400
65335410412020
7611413550103
oct132765565714
934460336043
1012211121100
1151a6950022
122449591010
1311c7b13a59
1483ba9703a
154b7074e50
hex2d7d6ebcc

12211121100 has 72 divisors (see below), whose sum is σ = 36285764368. Its totient is φ = 3168288000.

The previous prime is 12211121099. The next prime is 12211121129. The reversal of 12211121100 is 112111221.

It is a super-2 number, since 2×122111211002 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 538951 + ... + 561150.

Almost surely, 212211121100 is an apocalyptic number.

12211121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211121100 is an abundant number, since it is smaller than the sum of its proper divisors (24074643268).

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

12211121100 is a wasteful number, since it uses less digits than its factorization.

12211121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100155 (or 1100148 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12211121100 its reverse (112111221), we get a palindrome (12323232321).

It can be divided in two parts, 12211121 and 100, that added together give a palindrome (12211221).

The spelling of 12211121100 in words is "twelve billion, two hundred eleven million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1850 2220 2775 3700 5550 11100 1100101 2200202 3300303 4400404 5500505 6600606 11001010 13201212 16501515 22002020 27502525 33003030 40703737 55005050 66006060 81407474 82507575 110010100 122111211 162814948 165015150 203518685 244222422 330030300 407037370 488444844 610556055 814074740 1017593425 1221112110 2035186850 2442224220 3052780275 4070373700 6105560550 12211121100