Search a number
-
+
121116426120 = 2334572751419
BaseRepresentation
bin111000011001100011…
…0011111111110001000
3102120121210220221020000
41300303012133332020
53441021301113440
6131350133203000
711515243431024
oct1606306377610
9376553827200
10121116426120
1147402079638
121b581790460
13b562599841
145c0d71d384
15323ced3730
hex1c3319ff88

121116426120 has 160 divisors (see below), whose sum is σ = 407653646400. Its totient is φ = 32252660352.

The previous prime is 121116426107. The next prime is 121116426131. The reversal of 121116426120 is 21624611121.

121116426120 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 1 + 6 + 42 + 612 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2329771 + ... + 2381189.

It is an arithmetic number, because the mean of its divisors is an integer number (2547835290).

Almost surely, 2121116426120 is an apocalyptic number.

121116426120 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 121116426120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203826823200).

121116426120 is an abundant number, since it is smaller than the sum of its proper divisors (286537220280).

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

121116426120 is a wasteful number, since it uses less digits than its factorization.

121116426120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52169 (or 52156 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 121116426120 in words is "one hundred twenty-one billion, one hundred sixteen million, four hundred twenty-six thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 727 810 1080 1454 1620 2181 2908 3240 3635 4362 5816 6543 7270 8724 10905 13086 14540 17448 19629 21810 26172 29080 32715 39258 43620 51419 52344 58887 65430 78516 87240 98145 102838 117774 130860 154257 157032 196290 205676 235548 257095 261720 294435 308514 392580 411352 462771 471096 514190 588870 617028 771285 785160 925542 1028380 1177740 1234056 1388313 1542570 1851084 2056760 2313855 2355480 2776626 3085140 3702168 4164939 4627710 5553252 6170280 6941565 8329878 9255420 11106504 13883130 16659756 18510840 20824695 27766260 33319512 37381613 41649390 55532520 74763226 83298780 112144839 149526452 166597560 186908065 224289678 299052904 336434517 373816130 448579356 560724195 672869034 747632260 897158712 1009303551 1121448390 1345738068 1495264520 1682172585 2018607102 2242896780 2691476136 3027910653 3364345170 4037214204 4485793560 5046517755 6055821306 6728690340 8074428408 10093035510 12111642612 13457380680 15139553265 20186071020 24223285224 30279106530 40372142040 60558213060 121116426120