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11201211120 = 2435114242883
BaseRepresentation
bin10100110111010010…
…01110101011110000
31001220122001111000010
422123221032223300
5140420002223440
65051252454520
7544401503121
oct123351165360
931818044003
1011201211120
114828878780
12220731a440
131096816c98
147838ca048
15458587580
hex29ba4eaf0

11201211120 has 80 divisors (see below), whose sum is σ = 37880468352. Its totient is φ = 2715444480.

The previous prime is 11201211017. The next prime is 11201211211. The reversal of 11201211120 is 2111210211.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 11201211096 and 11201211105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2118802 + ... + 2124081.

Almost surely, 211201211120 is an apocalyptic number.

11201211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11201211120 is an abundant number, since it is smaller than the sum of its proper divisors (26679257232).

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

11201211120 is a wasteful number, since it uses less digits than its factorization.

11201211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4242910 (or 4242904 counting only the distinct ones).

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

Adding to 11201211120 its reverse (2111210211), we get a palindrome (13312421331).

Subtracting from 11201211120 its reverse (2111210211), we obtain a palindrome (9090000909).

The spelling of 11201211120 in words is "eleven billion, two hundred one million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 4242883 8485766 12728649 16971532 21214415 25457298 33943064 42428830 46671713 50914596 63643245 67886128 84857660 93343426 101829192 127286490 140015139 169715320 186686852 203658384 233358565 254572980 280030278 339430640 373373704 466717130 509145960 560060556 700075695 746747408 933434260 1018291920 1120121112 1400151390 1866868520 2240242224 2800302780 3733737040 5600605560 11201211120