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220122210012 = 2233110714873719
BaseRepresentation
bin1100110100000001001…
…1100101111011011100
3210001011200202212100220
43031000103211323130
512101302241210022
6245042302521340
721621555625215
oct3150023457334
9701150685326
10220122210012
1185398281431
12367b2596250
13179b0115913
14a9226da40c
155ad4cd085c
hex33404e5edc

220122210012 has 96 divisors (see below), whose sum is σ = 535645716480. Its totient is φ = 70277338560.

The previous prime is 220122209963. The next prime is 220122210017. The reversal of 220122210012 is 210012221022.

220122210012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 220122209973 and 220122210000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220122210017) 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 31 ways as a sum of consecutive naturals, for example, 59186689 + ... + 59190407.

It is an arithmetic number, because the mean of its divisors is an integer number (5579642880).

Almost surely, 2220122210012 is an apocalyptic number.

It is an amenable number.

220122210012 is an abundant number, since it is smaller than the sum of its proper divisors (315523506468).

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

220122210012 is a wasteful number, since it uses less digits than its factorization.

220122210012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5351 (or 5349 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 220122210012 its reverse (210012221022), we get a palindrome (430134431034).

The spelling of 220122210012 in words is "two hundred twenty billion, one hundred twenty-two million, two hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 12 31 62 93 107 124 186 214 321 372 428 642 1284 1487 2974 3317 3719 4461 5948 6634 7438 8922 9951 11157 13268 14876 17844 19902 22314 39804 44628 46097 92194 115289 138291 159109 184388 230578 276582 318218 345867 397933 461156 477327 553164 636436 691734 795866 954654 1193799 1383468 1591732 1909308 2387598 4775196 4932379 5530153 9864758 11060306 12335923 14797137 16590459 19729516 22120612 24671846 29594274 33180918 37007769 49343692 59188548 66361836 74015538 148031076 171434743 342869486 514304229 591726371 685738972 1028608458 1183452742 1775179113 2057216916 2366905484 3550358226 7100716452 18343517501 36687035002 55030552503 73374070004 110061105006 220122210012