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20121120 = 2532589157
BaseRepresentation
bin100110011000…
…0011000100000
31101212020222200
41030300120200
520122333440
61555133200
7333012105
oct114603040
941766880
1020121120
11103a3328
1268a4200
1342265b6
14295aaac
151b76c30
hex1330620

20121120 has 144 divisors (see below), whose sum is σ = 69877080. Its totient is φ = 5271552.

The previous prime is 20121107. The next prime is 20121121. The reversal of 20121120 is 2112102.

Adding to 20121120 its reverse (2112102), we get a palindrome (22233222).

It can be divided in two parts, 201 and 21120, that added together give a triangular number (21321 = T206).

It can be written as a sum of positive squares in 4 ways, for example, as 11048976 + 9072144 = 3324^2 + 3012^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (20121121) 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, 128082 + ... + 128238.

Almost surely, 220121120 is an apocalyptic number.

20121120 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 20121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34938540).

20121120 is an abundant number, since it is smaller than the sum of its proper divisors (49755960).

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

20121120 is a wasteful number, since it uses less digits than its factorization.

20121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 20121120 is about 4485.6571424932. The cubic root of 20121120 is about 271.9886096730.

The spelling of 20121120 in words is "twenty million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 89 90 96 120 144 157 160 178 180 240 267 288 314 356 360 445 471 480 534 628 712 720 785 801 890 942 1068 1256 1335 1413 1424 1440 1570 1602 1780 1884 2136 2355 2512 2670 2826 2848 3140 3204 3560 3768 4005 4272 4710 5024 5340 5652 6280 6408 7065 7120 7536 8010 8544 9420 10680 11304 12560 12816 13973 14130 14240 15072 16020 18840 21360 22608 25120 25632 27946 28260 32040 37680 41919 42720 45216 55892 56520 64080 69865 75360 83838 111784 113040 125757 128160 139730 167676 209595 223568 226080 251514 279460 335352 419190 447136 503028 558920 628785 670704 838380 1006056 1117840 1257570 1341408 1676760 2012112 2235680 2515140 3353520 4024224 5030280 6707040 10060560 20121120