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12110220120 = 23351574431451
BaseRepresentation
bin10110100011101001…
…10100101101011000
31011020222111220221010
423101310310231120
5144300204020440
65321404013520
7606050113125
oct132164645530
934228456833
1012110220120
1151549a3689
12241b8312a0
1311acc4612b
1482c50d74c
154ad293580
hex2d1d34b58

12110220120 has 128 divisors (see below), whose sum is σ = 36669853440. Its totient is φ = 3199372800.

The previous prime is 12110220041. The next prime is 12110220149. The reversal of 12110220120 is 2102201121.

12110220120 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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 12110220096 and 12110220105.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 8345395 + ... + 8346845.

It is an arithmetic number, because the mean of its divisors is an integer number (286483230).

Almost surely, 212110220120 is an apocalyptic number.

12110220120 is a gapful number since it is divisible by the number (10) 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 12110220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18334926720).

12110220120 is an abundant number, since it is smaller than the sum of its proper divisors (24559633320).

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

12110220120 is a wasteful number, since it uses less digits than its factorization.

12110220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2065 (or 2061 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12110220120 its reverse (2102201121), we get a palindrome (14212421241).

The spelling of 12110220120 in words is "twelve billion, one hundred ten million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 157 314 443 471 628 785 886 942 1256 1329 1451 1570 1772 1884 2215 2355 2658 2902 3140 3544 3768 4353 4430 4710 5316 5804 6280 6645 7255 8706 8860 9420 10632 11608 13290 14510 17412 17720 18840 21765 26580 29020 34824 43530 53160 58040 69551 87060 139102 174120 208653 227807 278204 347755 417306 455614 556408 642793 683421 695510 834612 911228 1043265 1139035 1285586 1366842 1391020 1669224 1822456 1928379 2086530 2278070 2571172 2733684 2782040 3213965 3417105 3856758 4173060 4556140 5142344 5467368 6427930 6834210 7713516 8346120 9112280 9641895 12855860 13668420 15427032 19283790 25711720 27336840 38567580 77135160 100918501 201837002 302755503 403674004 504592505 605511006 807348008 1009185010 1211022012 1513777515 2018370020 2422044024 3027555030 4036740040 6055110060 12110220120