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20120111201200 = 2452317732099081
BaseRepresentation
bin1001001001100100101000…
…00101001011101110110000
32122020110112010212201112011
410210302110011023232300
510114121441431414300
6110443015042012304
74144426053261013
oct444622405135660
978213463781464
1020120111201200
11645798927427a
12230b4b4647094
13b2c41a53411a
144d7b6626d37a
1524d5849a4eba
hex124c9414bbb0

20120111201200 has 120 divisors (see below), whose sum is σ = 49962450519936. Its totient is φ = 7778350848000.

The previous prime is 20120111201191. The next prime is 20120111201207. The reversal of 20120111201200 is 210211102102.

It is not an unprimeable number, because it can be changed into a prime (20120111201207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8535660 + ... + 10634740.

Almost surely, 220120111201200 is an apocalyptic number.

20120111201200 is a gapful number since it is divisible by the number (20) 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 20120111201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24981225259968).

20120111201200 is an abundant number, since it is smaller than the sum of its proper divisors (29842339318736).

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

20120111201200 is a wasteful number, since it uses less digits than its factorization.

20120111201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2099903 (or 2099892 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 20120111201200 its reverse (210211102102), we get a palindrome (20330322303302).

The spelling of 20120111201200 in words is "twenty trillion, one hundred twenty billion, one hundred eleven million, two hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 155 200 248 310 400 496 620 773 775 1240 1546 1550 2480 3092 3100 3865 6184 6200 7730 12368 12400 15460 19325 23963 30920 38650 47926 61840 77300 95852 119815 154600 191704 239630 309200 383408 479260 599075 958520 1198150 1917040 2099081 2396300 4198162 4792600 8396324 9585200 10495405 16792648 20990810 33585296 41981620 52477025 65071511 83963240 104954050 130143022 167926480 209908100 260286044 325357555 419816200 520572088 650715110 839632400 1041144176 1301430220 1622589613 1626787775 2602860440 3245179226 3253575550 5205720880 6490358452 6507151100 8112948065 12980716904 13014302200 16225896130 25961433808 26028604400 32451792260 40564740325 50300278003 64903584520 81129480650 100600556006 129807169040 162258961300 201201112012 251501390015 324517922600 402402224024 503002780030 649035845200 804804448048 1006005560060 1257506950075 2012011120120 2515013900150 4024022240240 5030027800300 10060055600600 20120111201200