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12000220020 = 2232597168659
BaseRepresentation
bin10110010110100010…
…01101001101110100
31010222022112100011100
423023101031031310
5144034024020040
65302434210100
7603243121125
oct131321151564
933868470140
1012000220020
1150a88a1a08
1223aaa23930
131193210a09
1481ba7804c
154a37b5b30
hex2cb44d374

12000220020 has 72 divisors (see below), whose sum is σ = 36438685920. Its totient is φ = 3196716480.

The previous prime is 12000220003. The next prime is 12000220021. The reversal of 12000220020 is 2002200021.

12000220020 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 (9).

It is a junction number, because it is equal to n+sod(n) for n = 12000219984 and 12000220011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000220021) 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, 140451 + ... + 209109.

It is an arithmetic number, because the mean of its divisors is an integer number (506092860).

Almost surely, 212000220020 is an apocalyptic number.

12000220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000220020 is an abundant number, since it is smaller than the sum of its proper divisors (24438465900).

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

12000220020 is a wasteful number, since it uses less digits than its factorization.

12000220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69645 (or 69640 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 12000220020 its reverse (2002200021), we get a palindrome (14002420041).

The spelling of 12000220020 in words is "twelve billion, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 971 1942 2913 3884 4855 5826 8739 9710 11652 14565 17478 19420 29130 34956 43695 58260 68659 87390 137318 174780 205977 274636 343295 411954 617931 686590 823908 1029885 1235862 1373180 2059770 2471724 3089655 4119540 6179310 12358620 66667889 133335778 200003667 266671556 333339445 400007334 600011001 666678890 800014668 1000018335 1200022002 1333357780 2000036670 2400044004 3000055005 4000073340 6000110010 12000220020