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220000120011120 = 24353833239151361
BaseRepresentation
bin110010000001011011000101…
…000000001111100101110000
31001211221210202121220202112110
4302001123011000033211300
5212313440221210323440
62055522354311525320
764224325030405161
oct6201330500174560
91054853677822473
10220000120011120
116410a58839a529
12208115b7089840
13959abcb3a18c7
143c480c3ba1768
151a67a9472e080
hexc816c500f970

220000120011120 has 80 divisors (see below), whose sum is σ = 682178303499552. Its totient is φ = 58651392737280.

The previous prime is 220000120011101. The next prime is 220000120011127. The reversal of 220000120011120 is 21110021000022.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 220000120011096 and 220000120011105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220000120011127) by changing a digit.

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, 118655761 + ... + 120495600.

Almost surely, 2220000120011120 is an apocalyptic number.

220000120011120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220000120011120 is an abundant number, since it is smaller than the sum of its proper divisors (462178183488432).

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

220000120011120 is a wasteful number, since it uses less digits than its factorization.

220000120011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239155210 (or 239155204 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 220000120011120 its reverse (21110021000022), we get a palindrome (241110141011142).

The spelling of 220000120011120 in words is "two hundred twenty trillion, one hundred twenty million, eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 3833 7666 11499 15332 19165 22998 30664 38330 45996 57495 61328 76660 91992 114990 153320 183984 229980 306640 459960 919920 239151361 478302722 717454083 956605444 1195756805 1434908166 1913210888 2391513610 2869816332 3587270415 3826421776 4783027220 5739632664 7174540830 9566054440 11479265328 14349081660 19132108880 28698163320 57396326640 916667166713 1833334333426 2750001500139 3666668666852 4583335833565 5500003000278 7333337333704 9166671667130 11000006000556 13750007500695 14666674667408 18333343334260 22000012001112 27500015001390 36666686668520 44000024002224 55000030002780 73333373337040 110000060005560 220000120011120