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12020110120 = 2355914934183
BaseRepresentation
bin10110011000111010…
…00101001100101000
31011000200221212020201
423030131011030220
5144104122010440
65304424401544
7603604151554
oct131435051450
934020855221
1012020110120
115109047707
1223b56162b4
1311973860c5
14820574864
154a53e419a
hex2cc745328

12020110120 has 64 divisors (see below), whose sum is σ = 27689040000. Its totient is φ = 4694692608.

The previous prime is 12020110093. The next prime is 12020110121. The reversal of 12020110120 is 2101102021.

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 = 12020110097 and 12020110106.

It is not an unprimeable number, because it can be changed into a prime (12020110121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 334549 + ... + 368731.

It is an arithmetic number, because the mean of its divisors is an integer number (432641250).

Almost surely, 212020110120 is an apocalyptic number.

12020110120 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 12020110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13844520000).

12020110120 is an abundant number, since it is smaller than the sum of its proper divisors (15668929880).

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

12020110120 is a wasteful number, since it uses less digits than its factorization.

12020110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34402 (or 34398 counting only the distinct ones).

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

Adding to 12020110120 its reverse (2101102021), we get a palindrome (14121212141).

It can be divided in two parts, 120201 and 10120, that added together give a 4-th power (130321 = 194).

The spelling of 12020110120 in words is "twelve billion, twenty million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 59 118 149 236 295 298 472 590 596 745 1180 1192 1490 2360 2980 5960 8791 17582 34183 35164 43955 68366 70328 87910 136732 170915 175820 273464 341830 351640 683660 1367320 2016797 4033594 5093267 8067188 10083985 10186534 16134376 20167970 20373068 25466335 40335940 40746136 50932670 80671880 101865340 203730680 300502753 601005506 1202011012 1502513765 2404022024 3005027530 6010055060 12020110120