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11011201112120 = 23511238313109197
BaseRepresentation
bin1010000000111011111010…
…1110110001100000111000
31102222122211112112010111212
42200032332232301200320
52420401414441041440
635230250450142252
72214350554105016
oct240167656614070
942878745463455
1011011201112120
113565907a6a270
12129a064b81988
1361b475c04c51
142a0d330378b6
1514165ec22465
hexa03bebb1838

11011201112120 has 128 divisors (see below), whose sum is σ = 28542394621440. Its totient is φ = 3783838333440.

The previous prime is 11011201112099. The next prime is 11011201112137. The reversal of 11011201112120 is 2121110211011.

It is a junction number, because it is equal to n+sod(n) for n = 11011201112095 and 11011201112104.

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, 5714639 + ... + 7394558.

It is an arithmetic number, because the mean of its divisors is an integer number (222987457980).

Almost surely, 211011201112120 is an apocalyptic number.

11011201112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11011201112120 is an abundant number, since it is smaller than the sum of its proper divisors (17531193509320).

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

11011201112120 is a wasteful number, since it uses less digits than its factorization.

11011201112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13109325 (or 13109321 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 11011201112120 its reverse (2121110211011), we get a palindrome (13132311323131).

The spelling of 11011201112120 in words is "eleven trillion, eleven billion, two hundred one million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 83 88 92 110 115 166 184 220 230 253 332 415 440 460 506 664 830 913 920 1012 1265 1660 1826 1909 2024 2530 3320 3652 3818 4565 5060 7304 7636 9130 9545 10120 15272 18260 19090 20999 36520 38180 41998 76360 83996 104995 167992 209990 419980 839960 13109197 26218394 52436788 65545985 104873576 131091970 144201167 262183940 288402334 301511531 524367880 576804668 603023062 721005835 1088063351 1153609336 1206046124 1442011670 1507557655 2176126702 2412092248 2884023340 3015115310 3316626841 4352253404 5440316755 5768046680 6030230620 6633253682 8704506808 10880633510 11968696861 12060461240 13266507364 16583134205 21761267020 23937393722 25025457073 26533014728 33166268410 43522534040 47874787444 50050914146 59843484305 66332536820 95749574888 100101828292 119686968610 125127285365 132665073640 200203656584 239373937220 250254570730 275280027803 478747874440 500509141460 550560055606 1001018282920 1101120111212 1376400139015 2202240222424 2752800278030 5505600556060 11011201112120