Search a number
-
+
121331122000 = 24531143128257
BaseRepresentation
bin111000011111111100…
…1011111111101010000
3102121011202220121121021
41300333321133331100
53441441231401000
6131423323005224
711523461343364
oct1607771377520
9377152817537
10121331122000
1147502289850
121b621669814
13b597bcac1a
145c300492a4
153251c9211a
hex1c3fe5ff50

121331122000 has 160 divisors (see below), whose sum is σ = 327495003264. Its totient is φ = 43094016000.

The previous prime is 121331121943. The next prime is 121331122061. The reversal of 121331122000 is 221133121.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 881872 + ... + 1010128.

Almost surely, 2121331122000 is an apocalyptic number.

121331122000 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 121331122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163747501632).

121331122000 is an abundant number, since it is smaller than the sum of its proper divisors (206163881264).

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

121331122000 is a wasteful number, since it uses less digits than its factorization.

121331122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128334 (or 128318 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 121331122000 its reverse (221133121), we get a palindrome (121552255121).

The spelling of 121331122000 in words is "one hundred twenty-one billion, three hundred thirty-one million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 43 44 50 55 80 86 88 100 110 125 172 176 200 215 220 250 275 344 400 430 440 473 500 550 688 860 880 946 1000 1075 1100 1375 1720 1892 2000 2150 2200 2365 2750 3440 3784 4300 4400 4730 5375 5500 7568 8600 9460 10750 11000 11825 17200 18920 21500 22000 23650 37840 43000 47300 59125 86000 94600 118250 128257 189200 236500 256514 473000 513028 641285 946000 1026056 1282570 1410827 2052112 2565140 2821654 3206425 5130280 5515051 5643308 6412850 7054135 10260560 11030102 11286616 12825700 14108270 16032125 22060204 22573232 25651400 27575255 28216540 32064250 35270675 44120408 51302800 55150510 56433080 60665561 64128500 70541350 88240816 110301020 112866160 121331122 128257000 137876275 141082700 176353375 220602040 242662244 256514000 275752550 282165400 303327805 352706750 441204080 485324488 551505100 564330800 606655610 689381375 705413500 970648976 1103010200 1213311220 1378762750 1410827000 1516639025 2206020400 2426622440 2757525500 2821654000 3033278050 4853244880 5515051000 6066556100 7583195125 11030102000 12133112200 15166390250 24266224400 30332780500 60665561000 121331122000