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220220101012120 = 235111074677572239
BaseRepresentation
bin110010000100100111111100…
…111001001010101010011000
31001212201211120110222110112221
4302010213330321022222120
5212331041231324341440
62100211415012113424
764246243253146336
oct6204477471125230
91055654513873487
10220220101012120
11641949029934a0
122084816a305874
1395b5888175aa1
143c549d1820b56
151a6d66be19d4a
hexc849fce4aa98

220220101012120 has 64 divisors (see below), whose sum is σ = 545592026073600. Its totient is φ = 79331625156480.

The previous prime is 220220101012111. The next prime is 220220101012127. The reversal of 220220101012120 is 21210101022022.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 220220101012094 and 220220101012103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220220101012127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2338739040 + ... + 2338833199.

It is an arithmetic number, because the mean of its divisors is an integer number (8524875407400).

Almost surely, 2220220101012120 is an apocalyptic number.

220220101012120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220220101012120 is an abundant number, since it is smaller than the sum of its proper divisors (325371925061480).

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

220220101012120 is a wasteful number, since it uses less digits than its factorization.

220220101012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4677572368 (or 4677572364 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 220220101012120 its reverse (21210101022022), we get a palindrome (241430202034142).

The spelling of 220220101012120 in words is "two hundred twenty trillion, two hundred twenty billion, one hundred one million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 107 110 214 220 428 440 535 856 1070 1177 2140 2354 4280 4708 5885 9416 11770 23540 47080 4677572239 9355144478 18710288956 23387861195 37420577912 46775722390 51453294629 93551444780 102906589258 187102889560 205813178516 257266473145 411626357032 500500229573 514532946290 1001000459146 1029065892580 2002000918292 2058131785160 2502501147865 4004001836584 5005002295730 5505502525303 10010004591460 11011005050606 20020009182920 22022010101212 27527512626515 44044020202424 55055025253030 110110050506060 220220101012120