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11201112120 = 23351137229343
BaseRepresentation
bin10100110111010001…
…10110100000111000
31001220121212110012110
422123220312200320
5140414441041440
65051250412320
7544400611362
oct123350664070
931817773173
1011201112120
114828810360
1222072910a0
1310967b0bc3
147838a1d32
15458568080
hex29ba36838

11201112120 has 128 divisors (see below), whose sum is σ = 37649111040. Its totient is φ = 2642019840.

The previous prime is 11201112119. The next prime is 11201112187. The reversal of 11201112120 is 2121110211.

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 = 11201112096 and 11201112105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65832 + ... + 163511.

It is an arithmetic number, because the mean of its divisors is an integer number (294133680).

Almost surely, 211201112120 is an apocalyptic number.

11201112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11201112120 is an abundant number, since it is smaller than the sum of its proper divisors (26447998920).

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

11201112120 is a wasteful number, since it uses less digits than its factorization.

11201112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229405 (or 229401 counting only the distinct ones).

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

Adding to 11201112120 its reverse (2121110211), we get a palindrome (13322222331).

It can be divided in two parts, 11201 and 112120, that added together give a palindrome (123321).

The spelling of 11201112120 in words is "eleven billion, two hundred one million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 37 40 44 55 60 66 74 88 110 111 120 132 148 165 185 220 222 264 296 330 370 407 440 444 555 660 740 814 888 1110 1221 1320 1480 1628 2035 2220 2442 3256 4070 4440 4884 6105 8140 9768 12210 16280 24420 48840 229343 458686 688029 917372 1146715 1376058 1834744 2293430 2522773 2752116 3440145 4586860 5045546 5504232 6880290 7568319 8485691 9173720 10091092 12613865 13760580 15136638 16971382 20182184 25227730 25457073 27521160 30273276 33942764 37841595 42428455 50455460 50914146 60546552 67885528 75683190 84856910 93342601 100910920 101828292 127285365 151366380 169713820 186685202 203656584 254570730 280027803 302732760 339427640 373370404 466713005 509141460 560055606 746740808 933426010 1018282920 1120111212 1400139015 1866852020 2240222424 2800278030 3733704040 5600556060 11201112120