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122133221220 = 223519956917977
BaseRepresentation
bin111000110111110110…
…1010000111101100100
3102200020200012110212210
41301233231100331210
54000112101034340
6132035054443420
711552401152153
oct1615755207544
9380220173783
10122133221220
114788402386a
121b806203570
13b69513744a
145ca879d59a
15329c3d1180
hex1c6fb50f64

122133221220 has 96 divisors (see below), whose sum is σ = 344314656000. Its totient is φ = 32346445824.

The previous prime is 122133221201. The next prime is 122133221251. The reversal of 122133221220 is 22122331221.

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, 6784872 + ... + 6802848.

It is an arithmetic number, because the mean of its divisors is an integer number (3586611000).

Almost surely, 2122133221220 is an apocalyptic number.

122133221220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122133221220 is an abundant number, since it is smaller than the sum of its proper divisors (222181434780).

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

122133221220 is a wasteful number, since it uses less digits than its factorization.

122133221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18757 (or 18755 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 122133221220 its reverse (22122331221), we get a palindrome (144255552441).

The spelling of 122133221220 in words is "one hundred twenty-two billion, one hundred thirty-three million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 199 398 569 597 796 995 1138 1194 1707 1990 2276 2388 2845 2985 3414 3980 5690 5970 6828 8535 11380 11940 17070 17977 34140 35954 53931 71908 89885 107862 113231 179770 215724 226462 269655 339693 359540 452924 539310 566155 679386 1078620 1132310 1358772 1698465 2264620 3396930 3577423 6793860 7154846 10228913 10732269 14309692 17887115 20457826 21464538 30686739 35774230 40915652 42929076 51144565 53661345 61373478 71548460 102289130 107322690 122746956 153433695 204578260 214645380 306867390 613734780 2035553687 4071107374 6106661061 8142214748 10177768435 12213322122 20355536870 24426644244 30533305305 40711073740 61066610610 122133221220