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120211030121300 = 22527189787724151
BaseRepresentation
bin11011010101010011001111…
…101111111001101101010100
3120202122001200101011221022222
4123111103033233321231110
5111224014142202340200
61103400103532441512
734214650250466206
oct3325231757715524
9522561611157288
10120211030121300
1135337236676838
1211595852919298
13520cb0b98b731
142198360022776
15dd6e71118d85
hex6d54cfbf9b54

120211030121300 has 144 divisors (see below), whose sum is σ = 267549298248960. Its totient is φ = 46866610560000.

The previous prime is 120211030121239. The next prime is 120211030121317. The reversal of 120211030121300 is 3121030112021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4977464225 + ... + 4977488375.

It is an arithmetic number, because the mean of its divisors is an integer number (1857981237840).

Almost surely, 2120211030121300 is an apocalyptic number.

120211030121300 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 120211030121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133774649124480).

120211030121300 is an abundant number, since it is smaller than the sum of its proper divisors (147338268127660).

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

120211030121300 is a wasteful number, since it uses less digits than its factorization.

120211030121300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32202 (or 32195 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 120211030121300 its reverse (3121030112021), we get a palindrome (123332060233321).

The spelling of 120211030121300 in words is "one hundred twenty trillion, two hundred eleven billion, thirty million, one hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 71 89 100 142 178 284 355 356 445 710 890 1420 1775 1780 2225 3550 4450 6319 7100 7877 8900 12638 15754 24151 25276 31508 31595 39385 48302 63190 78770 96604 120755 126380 157540 157975 196925 241510 315950 393850 483020 559267 603775 631900 701053 787700 1118534 1207550 1402106 1714721 2149439 2237068 2415100 2796335 2804212 3429442 3505265 4298878 5592670 6858884 7010530 8573605 8597756 10747195 11185340 13981675 14021060 17147210 17526325 21494390 27963350 34294420 35052650 42868025 42988780 49774763 53735975 55926700 70105300 85736050 99549526 107471950 152610169 171472100 190237427 199099052 214943900 248873815 305220338 380474854 497747630 610440676 760949708 763050845 951187135 995495260 1244369075 1526101690 1902374270 2488738150 3052203380 3804748540 3815254225 4755935675 4977476300 7630508450 9511871350 13506857317 15261016900 16931131003 19023742700 27013714634 33862262006 54027429268 67534286585 67724524012 84655655015 135068573170 169311310030 270137146340 337671432925 338622620060 423278275075 675342865850 846556550150 1202110301213 1350685731700 1693113100300 2404220602426 4808441204852 6010551506065 12021103012130 24042206024260 30052757530325 60105515060650 120211030121300