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12122100100 = 22521111020091
BaseRepresentation
bin10110100101000100…
…01001000110000100
31011021210212111012101
423102202021012010
5144311224200400
65322510401444
7606253102465
oct132242110604
934253774171
1012122100100
115160678250
122423800284
1311b25455c6
1482dd22d6c
154ae33d56a
hex2d2889184

12122100100 has 36 divisors (see below), whose sum is σ = 28696319568. Its totient is φ = 4408036000.

The previous prime is 12122100077. The next prime is 12122100101. The reversal of 12122100100 is 100122121.

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

It is not an unprimeable number, because it can be changed into a prime (12122100101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5508946 + ... + 5511145.

It is an arithmetic number, because the mean of its divisors is an integer number (797119988).

Almost surely, 212122100100 is an apocalyptic number.

12122100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122100100 is an abundant number, since it is smaller than the sum of its proper divisors (16574219468).

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

12122100100 is a wasteful number, since it uses less digits than its factorization.

12122100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11020116 (or 11020109 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12122100100 its reverse (100122121), we get a palindrome (12222222221).

The spelling of 12122100100 in words is "twelve billion, one hundred twenty-two million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 11020091 22040182 44080364 55100455 110200910 121221001 220401820 242442002 275502275 484884004 551004550 606105005 1102009100 1212210010 2424420020 3030525025 6061050050 12122100100