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12120020001100 = 22521119157686911
BaseRepresentation
bin1011000001011110100101…
…1111001010000101001100
31120220122220000212212122101
42300113221133022011030
53042033300110013400
641435505455124444
72360433252130114
oct260275137120514
946818800785571
1012120020001100
113953087360060
121438b36213724
1369bbb3a8aa0b
142dc87d850044
15160409a2756a
hexb05e97ca14c

12120020001100 has 72 divisors (see below), whose sum is σ = 28841610018816. Its totient is φ = 4384205160000.

The previous prime is 12120020001091. The next prime is 12120020001109. The reversal of 12120020001100 is 110002002121.

It is an interprime number because it is at equal distance from previous prime (12120020001091) and next prime (12120020001109).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (12120020001109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28633356 + ... + 29053555.

It is an arithmetic number, because the mean of its divisors is an integer number (400577916928).

Almost surely, 212120020001100 is an apocalyptic number.

12120020001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12120020001100 is an abundant number, since it is smaller than the sum of its proper divisors (16721590017716).

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

12120020001100 is a wasteful number, since it uses less digits than its factorization.

12120020001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57687127 (or 57687120 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12120020001100 its reverse (110002002121), we get a palindrome (12230022003221).

The spelling of 12120020001100 in words is "twelve trillion, one hundred twenty billion, twenty million, one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 191 220 275 382 550 764 955 1100 1910 2101 3820 4202 4775 8404 9550 10505 19100 21010 42020 52525 105050 210100 57686911 115373822 230747644 288434555 576869110 634556021 1153738220 1269112042 1442172775 2538224084 2884345550 3172780105 5768691100 6345560210 11018200001 12691120420 15863900525 22036400002 31727801050 44072800004 55091000005 63455602100 110182000010 121200200011 220364000020 242400400022 275455000025 484800800044 550910000050 606001000055 1101820000100 1212002000110 2424004000220 3030005000275 6060010000550 12120020001100