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120133220220 = 223251375767819
BaseRepresentation
bin110111111100001111…
…1110111011101111100
3102111002021211220021200
41233320133313131330
53432013101021340
6131104411455500
711452004344356
oct1577037673574
9374067756250
10120133220220
1146a48086482
121b348457590
13b43698c7c0
145b58d040d6
1531d1a1d330
hex1bf87f777c

120133220220 has 144 divisors (see below), whose sum is σ = 392959388640. Its totient is φ = 29531755008.

The previous prime is 120133220209. The next prime is 120133220231. The reversal of 120133220220 is 22022331021.

120133220220 is a `hidden beast` number, since 120 + 1 + 3 + 322 + 0 + 220 = 666.

120133220220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (120133220209) and next prime (120133220231).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 120133220193 and 120133220202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1737471 + ... + 1805289.

Almost surely, 2120133220220 is an apocalyptic number.

120133220220 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 120133220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196479694320).

120133220220 is an abundant number, since it is smaller than the sum of its proper divisors (272826168420).

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

120133220220 is a wasteful number, since it uses less digits than its factorization.

120133220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68604 (or 68599 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 120133220220 its reverse (22022331021), we get a palindrome (142155551241).

The spelling of 120133220220 in words is "one hundred twenty billion, one hundred thirty-three million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 757 780 1170 1514 2271 2340 3028 3785 4542 6813 7570 9084 9841 11355 13626 15140 19682 22710 27252 29523 34065 39364 45420 49205 59046 67819 68130 88569 98410 118092 135638 136260 147615 177138 196820 203457 271276 295230 339095 354276 406914 442845 590460 610371 678190 813828 881647 885690 1017285 1220742 1356380 1763294 1771380 2034570 2441484 2644941 3051855 3526588 4069140 4408235 5289882 6103710 7934823 8816470 10579764 12207420 13224705 15869646 17632940 26449410 31739292 39674115 51338983 52898820 79348230 102677966 154016949 158696460 205355932 256694915 308033898 462050847 513389830 616067796 667406779 770084745 924101694 1026779660 1334813558 1540169490 1848203388 2002220337 2310254235 2669627116 3080338980 3337033895 4004440674 4620508470 6006661011 6674067790 8008881348 9241016940 10011101685 12013322022 13348135580 20022203370 24026644044 30033305055 40044406740 60066610110 120133220220