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12214111211040 = 2535201611262143
BaseRepresentation
bin1011000110111101000111…
…0000101000111000100000
31121020122202102002120201210
42301233101300220320200
53100103444432223130
641551030224230120
72400304030202334
oct261572160507040
947218672076653
1012214111211040
113989a803a2792
12145321516b340
136a7a2a38827b
14303247c457c4
15162ab51445b0
hexb1bd1c28e20

12214111211040 has 96 divisors (see below), whose sum is σ = 38476389159936. Its totient is φ = 3256932188160.

The previous prime is 12214111211023. The next prime is 12214111211051. The reversal of 12214111211040 is 4011211141221.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 12214111210998 and 12214111211016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9046209 + ... + 10308351.

It is an arithmetic number, because the mean of its divisors is an integer number (400795720416).

Almost surely, 212214111211040 is an apocalyptic number.

12214111211040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12214111211040 is an abundant number, since it is smaller than the sum of its proper divisors (26262277948896).

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

12214111211040 is a wasteful number, since it uses less digits than its factorization.

12214111211040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282322 (or 1282314 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 12214111211040 its reverse (4011211141221), we get a palindrome (16225322352261).

The spelling of 12214111211040 in words is "twelve trillion, two hundred fourteen billion, one hundred eleven million, two hundred eleven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 20161 40322 60483 80644 100805 120966 161288 201610 241932 302415 322576 403220 483864 604830 645152 806440 967728 1209660 1262143 1612880 1935456 2419320 2524286 3225760 3786429 4838640 5048572 6310715 7572858 9677280 10097144 12621430 15145716 18932145 20194288 25242860 30291432 37864290 40388576 50485720 60582864 75728580 100971440 121165728 151457160 201942880 302914320 605828640 25446065023 50892130046 76338195069 101784260092 127230325115 152676390138 203568520184 254460650230 305352780276 381690975345 407137040368 508921300460 610705560552 763381950690 814274080736 1017842600920 1221411121104 1526763901380 2035685201840 2442822242208 3053527802760 4071370403680 6107055605520 12214111211040