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12021100120 = 2351982319219
BaseRepresentation
bin10110011001000001…
…10110111001011000
31011000202211011021101
423030200312321120
5144104400200440
65304501521144
7603615444061
oct131440667130
934022734241
1012021100120
115109663497
1223b5a131b4
1311976418c3
14820751568
154a553c69a
hex2cc836e58

12021100120 has 64 divisors (see below), whose sum is σ = 28507104000. Its totient is φ = 4549592448.

The previous prime is 12021100109. The next prime is 12021100151. The reversal of 12021100120 is 2100112021.

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

It is a junction number, because it is equal to n+sod(n) for n = 12021100097 and 12021100106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 615871 + ... + 635089.

It is an arithmetic number, because the mean of its divisors is an integer number (445423500).

Almost surely, 212021100120 is an apocalyptic number.

12021100120 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 12021100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14253552000).

12021100120 is an abundant number, since it is smaller than the sum of its proper divisors (16486003880).

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

12021100120 is a wasteful number, since it uses less digits than its factorization.

12021100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20072 (or 20068 counting only the distinct ones).

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

Adding to 12021100120 its reverse (2100112021), we get a palindrome (14121212141).

The spelling of 12021100120 in words is "twelve billion, twenty-one million, one hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 823 1646 3292 4115 6584 8230 15637 16460 19219 31274 32920 38438 62548 76876 78185 96095 125096 153752 156370 192190 312740 365161 384380 625480 730322 768760 1460644 1825805 2921288 3651610 7303220 14606440 15817237 31634474 63268948 79086185 126537896 158172370 300527503 316344740 601055006 632689480 1202110012 1502637515 2404220024 3005275030 6010550060 12021100120