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22002122211120 = 24325152320064677
BaseRepresentation
bin1010000000010110001001…
…01011011011111100110000
32212220101022201121211222200
411000023010223123330300
510340440321241223440
6114443345125303200
74430413046022252
oct500130453337460
985811281554880
1022002122211120
117013058437507
1225741aa264b00
13c37a3941191c
14560ca08d9cd2
152824d4316c30
hex1402c4adbf30

22002122211120 has 120 divisors (see below), whose sum is σ = 73938980499696. Its totient is φ = 5863379879424.

The previous prime is 22002122211067. The next prime is 22002122211131. The reversal of 22002122211120 is 2111222120022.

It is a happy number.

22002122211120 is a `hidden beast` number, since 2 + 200 + 212 + 221 + 11 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 22002122211093 and 22002122211102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8935779 + ... + 11128898.

Almost surely, 222002122211120 is an apocalyptic number.

22002122211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22002122211120 is an abundant number, since it is smaller than the sum of its proper divisors (51936858288576).

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

22002122211120 is a wasteful number, since it uses less digits than its factorization.

22002122211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20066219 (or 20066210 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22002122211120 its reverse (2111222120022), we get a palindrome (24113344331142).

The spelling of 22002122211120 in words is "twenty-two trillion, two billion, one hundred twenty-two million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1523 3046 4569 6092 7615 9138 12184 13707 15230 18276 22845 24368 27414 30460 36552 45690 54828 60920 68535 73104 91380 109656 121840 137070 182760 219312 274140 365520 548280 1096560 20064677 40129354 60194031 80258708 100323385 120388062 160517416 180582093 200646770 240776124 300970155 321034832 361164186 401293540 481552248 601940310 722328372 802587080 902910465 963104496 1203880620 1444656744 1605174160 1805820930 2407761240 2889313488 3611641860 4815522480 7223283720 14446567440 30558503071 61117006142 91675509213 122234012284 152792515355 183351018426 244468024568 275026527639 305585030710 366702036852 458377546065 488936049136 550053055278 611170061420 733404073704 916755092130 1100106110556 1222340122840 1375132638195 1466808147408 1833510184260 2200212221112 2444680245680 2750265276390 3667020368520 4400424442224 5500530552780 7334040737040 11001061105560 22002122211120