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12000200120 = 2351946733811
BaseRepresentation
bin10110010110100010…
…01000010110111000
31010222022111022212022
423023101020112320
5144034022400440
65302433534012
7603243006116
oct131321102670
933868438768
1012000200120
1150a8888a67
1223aaa14308
13119320493c
1481ba70ab6
154a37aecb5
hex2cb4485b8

12000200120 has 64 divisors (see below), whose sum is σ = 28483228800. Its totient is φ = 4537572480.

The previous prime is 12000200081. The next prime is 12000200141. The reversal of 12000200120 is 2100200021.

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

It is a junction number, because it is equal to n+sod(n) for n = 12000200098 and 12000200107.

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, 338015 + ... + 371825.

It is an arithmetic number, because the mean of its divisors is an integer number (445050450).

Almost surely, 212000200120 is an apocalyptic number.

12000200120 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 12000200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14241614400).

12000200120 is an abundant number, since it is smaller than the sum of its proper divisors (16483028680).

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

12000200120 is a wasteful number, since it uses less digits than its factorization.

12000200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34308 (or 34304 counting only the distinct ones).

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

Adding to 12000200120 its reverse (2100200021), we get a palindrome (14100400141).

Subtracting from 12000200120 its reverse (2100200021), we obtain a palindrome (9900000099).

The spelling of 12000200120 in words is "twelve billion, two hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 467 760 934 1868 2335 3736 4670 8873 9340 17746 18680 33811 35492 44365 67622 70984 88730 135244 169055 177460 270488 338110 354920 642409 676220 1284818 1352440 2569636 3212045 5139272 6424090 12848180 15789737 25696360 31579474 63158948 78948685 126317896 157897370 300005003 315794740 600010006 631589480 1200020012 1500025015 2400040024 3000050030 6000100060 12000200120