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11021212200120 = 23351991852124919
BaseRepresentation
bin1010000001100001001101…
…1100000010110010111000
31110000121200020011002111220
42200120103130002302320
52421032420310400440
635235024110352040
72215153625000343
oct240302334026270
943017606132456
1011021212200120
11356a084a67911
12129bb997bb620
1361c3acca5265
142a160284545a
15141a48a708d0
hexa0613702cb8

11021212200120 has 128 divisors (see below), whose sum is σ = 33232913280000. Its totient is φ = 2923945896960.

The previous prime is 11021212200113. The next prime is 11021212200121. The reversal of 11021212200120 is 2100221212011.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11021212200120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11021212200121) by changing a digit.

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, 442269021 + ... + 442293939.

It is an arithmetic number, because the mean of its divisors is an integer number (259632135000).

Almost surely, 211021212200120 is an apocalyptic number.

11021212200120 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 11021212200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16616456640000).

11021212200120 is an abundant number, since it is smaller than the sum of its proper divisors (22211701079880).

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

11021212200120 is a wasteful number, since it uses less digits than its factorization.

11021212200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43653 (or 43649 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11021212200120 its reverse (2100221212011), we get a palindrome (13121433412131).

The spelling of 11021212200120 in words is "eleven trillion, twenty-one billion, two hundred twelve million, two hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 199 398 597 796 995 1194 1592 1990 2388 2985 3980 4776 5970 7960 11940 18521 23880 24919 37042 49838 55563 74084 74757 92605 99676 111126 124595 148168 149514 185210 199352 222252 249190 277815 299028 370420 373785 444504 498380 555630 598056 740840 747570 996760 1111260 1495140 2222520 2990280 3685679 4958881 7371358 9917762 11057037 14742716 14876643 18428395 19835524 22114074 24794405 29485432 29753286 36856790 39671048 44228148 49588810 55285185 59506572 73713580 74383215 88456296 99177620 110570370 119013144 147427160 148766430 198355240 221140740 297532860 442281480 461524799 595065720 923049598 1384574397 1846099196 2307623995 2769148794 3692198392 4615247990 5538297588 6922871985 9230495980 11076595176 13845743970 18460991960 27691487940 55382975880 91843435001 183686870002 275530305003 367373740004 459217175005 551060610006 734747480008 918434350010 1102121220012 1377651525015 1836868700020 2204242440024 2755303050030 3673737400040 5510606100060 11021212200120