Search a number
-
+
12111120120 = 23351123398917
BaseRepresentation
bin10110100011110000…
…10000011011111000
31011021001012122111110
423101320100123320
5144300421320440
65321435200320
7606060552051
oct132170203370
934231178443
1012111120120
115155458890
12241bba60a0
1311b019c988
1482c6a5728
154ad3c0080
hex2d1e106f8

12111120120 has 128 divisors (see below), whose sum is σ = 41359818240. Its totient is φ = 2808368640.

The previous prime is 12111120107. The next prime is 12111120121. The reversal of 12111120120 is 2102111121.

It is a super-2 number, since 2×121111201202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12111120096 and 12111120105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12111120121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 169099 + ... + 229818.

It is an arithmetic number, because the mean of its divisors is an integer number (323123580).

Almost surely, 212111120120 is an apocalyptic number.

12111120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12111120120 is an abundant number, since it is smaller than the sum of its proper divisors (29248698120).

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

12111120120 is a wasteful number, since it uses less digits than its factorization.

12111120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398965 (or 398961 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12111120120 its reverse (2102111121), we get a palindrome (14213231241).

It can be divided in two parts, 12111 and 120120, that added together give a palindrome (132231).

The spelling of 12111120120 in words is "twelve billion, one hundred eleven million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 23 24 30 33 40 44 46 55 60 66 69 88 92 110 115 120 132 138 165 184 220 230 253 264 276 330 345 440 460 506 552 660 690 759 920 1012 1265 1320 1380 1518 2024 2530 2760 3036 3795 5060 6072 7590 10120 15180 30360 398917 797834 1196751 1595668 1994585 2393502 3191336 3989170 4388087 4787004 5983755 7978340 8776174 9175091 9574008 11967510 13164261 15956680 17552348 18350182 21940435 23935020 26328522 27525273 35104696 36700364 43880870 45875455 47870040 52657044 55050546 65821305 73400728 87761740 91750910 100926001 105314088 110101092 131642610 137626365 175523480 183501820 201852002 220202184 263285220 275252730 302778003 367003640 403704004 504630005 526570440 550505460 605556006 807408008 1009260010 1101010920 1211112012 1513890015 2018520020 2422224024 3027780030 4037040040 6055560060 12111120120