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12020010200 = 2352118365827
BaseRepresentation
bin10110011000111001…
…01100110011011000
31011000200202210011222
423030130230303120
5144104110311300
65304422311212
7603603254342
oct131434546330
934020683158
1012020010200
115108a89630
1223b5588508
13119734c793
1482054a292
154a53c4785
hex2cc72ccd8

12020010200 has 96 divisors (see below), whose sum is σ = 30854900160. Its totient is φ = 4318185600.

The previous prime is 12020010187. The next prime is 12020010209. The reversal of 12020010200 is 201002021.

12020010200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12020010209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149687 + ... + 215513.

It is an arithmetic number, because the mean of its divisors is an integer number (321405210).

Almost surely, 212020010200 is an apocalyptic number.

12020010200 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 12020010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15427450080).

12020010200 is an abundant number, since it is smaller than the sum of its proper divisors (18834889960).

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

12020010200 is a wasteful number, since it uses less digits than its factorization.

12020010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65937 (or 65928 counting only the distinct ones).

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

Adding to 12020010200 its reverse (201002021), we get a palindrome (12221012221).

The spelling of 12020010200 in words is "twelve billion, twenty million, ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 83 88 100 110 166 200 220 275 332 415 440 550 664 830 913 1100 1660 1826 2075 2200 3320 3652 4150 4565 7304 8300 9130 16600 18260 22825 36520 45650 65827 91300 131654 182600 263308 329135 526616 658270 724097 1316540 1448194 1645675 2633080 2896388 3291350 3620485 5463641 5792776 6582700 7240970 10927282 13165400 14481940 18102425 21854564 27318205 28963880 36204850 43709128 54636410 60100051 72409700 109272820 120200102 136591025 144819400 218545640 240400204 273182050 300500255 480800408 546364100 601000510 1092728200 1202001020 1502501275 2404002040 3005002550 6010005100 12020010200