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220000122002112 = 26323120434136749
BaseRepresentation
bin110010000001011011000101…
…000111110101101011000000
31001211221210202202122220122220
4302001123011013311223000
5212313440222213031422
62055522354422331040
764224325053336624
oct6201330507655300
91054853682586586
10220000122002112
116410a58952a381
12208115b7889a80
13959abcb91abca
143c480c415d184
151a67a949c3e5c
hexc816c51f5ac0

220000122002112 has 112 divisors (see below), whose sum is σ = 607442223264000. Its totient is φ = 70139124937728.

The previous prime is 220000122002083. The next prime is 220000122002173. The reversal of 220000122002112 is 211200221000022.

It is a junction number, because it is equal to n+sod(n) for n = 220000122002091 and 220000122002100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51113514 + ... + 55250262.

Almost surely, 2220000122002112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220000122002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303721111632000).

220000122002112 is an abundant number, since it is smaller than the sum of its proper divisors (387442101261888).

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

220000122002112 is a wasteful number, since it uses less digits than its factorization.

220000122002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4148830 (or 4148820 counting only the distinct ones).

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

Adding to 220000122002112 its reverse (211200221000022), we get a palindrome (431200343002134).

The spelling of 220000122002112 in words is "two hundred twenty trillion, one hundred twenty-two million, two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 276 368 552 736 1104 1472 2208 4416 12043 24086 36129 48172 72258 96344 144516 192688 276989 289032 385376 553978 578064 770752 830967 1107956 1156128 1661934 2215912 2312256 3323868 4136749 4431824 6647736 8273498 8863648 12410247 13295472 16546996 17727296 24820494 26590944 33093992 49640988 53181888 66187984 95145227 99281976 132375968 190290454 198563952 264751936 285435681 380580908 397127904 570871362 761161816 794255808 1141742724 1522323632 2283485448 3044647264 4566970896 6089294528 9133941792 18267883584 49818868207 99637736414 149456604621 199275472828 298913209242 398550945656 597826418484 797101891312 1145833968761 1195652836968 1594203782624 2291667937522 2391305673936 3188407565248 3437501906283 4583335875044 4782611347872 6875003812566 9166671750088 9565222695744 13750007625132 18333343500176 27500015250264 36666687000352 55000030500528 73333374000704 110000061001056 220000122002112