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12020012000 = 255319115733
BaseRepresentation
bin10110011000111001…
…01101001111100000
31011000200202212122122
423030130231033200
5144104110341000
65304422323412
7603603262523
oct131434551740
934020685578
1012020012000
115108a8aa17
1223b5589568
131197350549
1482054abba
154a53c5085
hex2cc72d3e0

12020012000 has 96 divisors (see below), whose sum is σ = 29689680384. Its totient is φ = 4782528000.

The previous prime is 12020011999. The next prime is 12020012021. The reversal of 12020012000 is 21002021.

12020012000 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 an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 756134 + ... + 771866.

It is an arithmetic number, because the mean of its divisors is an integer number (309267504).

Almost surely, 212020012000 is an apocalyptic number.

12020012000 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 12020012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14844840192).

12020012000 is an abundant number, since it is smaller than the sum of its proper divisors (17669668384).

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

12020012000 is a wasteful number, since it uses less digits than its factorization.

12020012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15949 (or 15931 counting only the distinct ones).

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

Adding to 12020012000 its reverse (21002021), we get a palindrome (12041014021).

The spelling of 12020012000 in words is "twelve billion, twenty million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 191 200 250 382 400 500 764 800 955 1000 1528 1910 2000 3056 3820 4000 4775 6112 7640 9550 15280 15733 19100 23875 30560 31466 38200 47750 62932 76400 78665 95500 125864 152800 157330 191000 251728 314660 382000 393325 503456 629320 764000 786650 1258640 1573300 1966625 2517280 3005003 3146600 3933250 6010006 6293200 7866500 12020012 12586400 15025015 15733000 24040024 30050030 31466000 48080048 60100060 62932000 75125075 96160096 120200120 150250150 240400240 300500300 375625375 480800480 601000600 751250750 1202001200 1502501500 2404002400 3005003000 6010006000 12020012000