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112000220221122 = 2352332773570647
BaseRepresentation
bin11001011101110100010101…
…010101110100111011000010
3112200120010010220210000200000
4121131310111111310323002
5104140002422334033442
61034112105120540430
732406514603051662
oct3135642525647302
9480503126700600
10112000220221122
1132761032525402
121068a487181716
134a6576334ca8c
141d92ba7b581a2
15ce35b1be0d4c
hex65dd15574ec2

112000220221122 has 96 divisors (see below), whose sum is σ = 253647350716032. Its totient is φ = 37038967956864.

The previous prime is 112000220221031. The next prime is 112000220221171. The reversal of 112000220221122 is 221122022000211.

It is a happy number.

112000220221122 is a `hidden beast` number, since 1 + 1 + 200 + 0 + 220 + 221 + 1 + 22 = 666.

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 = 112000220221095 and 112000220221104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29581603 + ... + 33152249.

It is an arithmetic number, because the mean of its divisors is an integer number (2642159903292).

Almost surely, 2112000220221122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112000220221122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126823675358016).

112000220221122 is an abundant number, since it is smaller than the sum of its proper divisors (141647130494910).

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

112000220221122 is a wasteful number, since it uses less digits than its factorization.

112000220221122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3571174 (or 3571162 counting only the distinct ones).

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

Adding to 112000220221122 its reverse (221122022000211), we get a palindrome (333122242221333).

The spelling of 112000220221122 in words is "one hundred twelve trillion, two hundred twenty million, two hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 233 243 277 466 486 554 699 831 1398 1662 2097 2493 4194 4986 6291 7479 12582 14958 18873 22437 37746 44874 56619 64541 67311 113238 129082 134622 193623 387246 580869 1161738 1742607 3485214 3570647 5227821 7141294 10455642 10711941 15683463 21423882 31366926 32135823 64271646 96407469 192814938 289222407 578444814 831960751 867667221 989069219 1663921502 1735334442 1978138438 2495882253 2967207657 4991764506 5934415314 7487646759 8901622971 14975293518 17803245942 22462940277 26704868913 44925880554 53409737826 67388820831 80114606739 134777641662 160229213478 202166462493 230453128027 240343820217 404332924986 460906256054 480687640434 691359384081 1382718768162 2074078152243 4148156304486 6222234456729 12444468913458 18666703370187 37333406740374 56000110110561 112000220221122