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121002001023222 = 232112313198789329
BaseRepresentation
bin11011100000110011111001…
…010010011100000011110110
3120212102200022111110222020200
4123200303321102130003312
5111324444044230220342
61105203315112141330
734326051246306144
oct3340637122340366
9525380274428220
10121002001023222
113561172a075500
12116a2bb9397846
13526959413a507
1421c475715a594
15dec8168d294c
hex6e0cf949c0f6

121002001023222 has 144 divisors (see below), whose sum is σ = 289240837332720. Its totient is φ = 36531321615360.

The previous prime is 121002001023121. The next prime is 121002001023227. The reversal of 121002001023222 is 222320100200121.

121002001023222 is a `hidden beast` number, since 1 + 210 + 0 + 200 + 1 + 0 + 232 + 22 = 666.

It is a super-2 number, since 2×1210020010232222 (a number of 29 digits) contains 22 as substring.

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 = 121002001023195 and 121002001023204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121002001023227) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1354521054 + ... + 1354610382.

Almost surely, 2121002001023222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121002001023222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144620418666360).

121002001023222 is an abundant number, since it is smaller than the sum of its proper divisors (168238836309498).

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

121002001023222 is a wasteful number, since it uses less digits than its factorization.

121002001023222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91659 (or 91645 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 121002001023222 its reverse (222320100200121), we get a palindrome (343322101223343).

The spelling of 121002001023222 in words is "one hundred twenty-one trillion, two billion, one million, twenty-three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 313 363 626 726 939 1089 1878 1987 2178 2817 3443 3974 5634 5961 6886 10329 11922 17883 20658 21857 30987 35766 37873 43714 61974 65571 75746 89329 113619 131142 178658 196713 227238 240427 267987 340857 393426 480854 535974 621931 681714 721281 803961 982619 1243862 1442562 1607922 1865793 1965238 2163843 2947857 3731586 4327686 5597379 5895714 6841241 8843571 10808809 11194758 13682482 17687142 20523723 21617618 27959977 32426427 41047446 55919954 61571169 64852854 75253651 83879931 97279281 123142338 150507302 167759862 177496723 194558562 225760953 251639793 307559747 354993446 451521906 503279586 532490169 615119494 677282859 922679241 1064980338 1354565718 1597470507 1845358482 1952463953 2768037723 3194941014 3383157217 3904927906 5536075446 5857391859 6766314434 10149471651 11714783718 17572175577 20298943302 21477103483 30448414953 35144351154 42954206966 55556474299 60896829906 64431310449 111112948598 128862620898 166669422897 193293931347 333338845794 386587862694 500008268691 611121217289 1000016537382 1222242434578 1833363651867 3666727303734 5500090955601 6722333390179 11000181911202 13444666780358 20167000170537 40334000341074 60501000511611 121002001023222