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112220001201222 = 23347149318793113
BaseRepresentation
bin11001100001000001000001…
…010011101110110001000110
3112201100010102211110121121000
4121201001001103232301012
5104202103030301414342
61034401053514034130
732431425146420625
oct3141010123566106
9481303384417530
10112220001201222
1132836265121742
1210704ba3418946
134a803ba8602b5
141d9d696dcb6bc
15ce9176a6b44c
hex6610414eec46

112220001201222 has 128 divisors (see below), whose sum is σ = 256476181248000. Its totient is φ = 36353269732608.

The previous prime is 112220001201197. The next prime is 112220001201223. The reversal of 112220001201222 is 222102100022211.

It is a happy number.

112220001201222 is a `hidden beast` number, since 1 + 122 + 200 + 0 + 120 + 1 + 222 = 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 = 112220001201195 and 112220001201204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112220001201223) 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 63 ways as a sum of consecutive naturals, for example, 1205155738 + ... + 1205248850.

It is an arithmetic number, because the mean of its divisors is an integer number (2003720166000).

Almost surely, 2112220001201222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112220001201222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128238090624000).

112220001201222 is an abundant number, since it is smaller than the sum of its proper divisors (144256180046778).

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

112220001201222 is a wasteful number, since it uses less digits than its factorization.

112220001201222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96507 (or 96501 counting only the distinct ones).

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

Adding to 112220001201222 its reverse (222102100022211), we get a palindrome (334322101223433).

The spelling of 112220001201222 in words is "one hundred twelve trillion, two hundred twenty billion, one million, two hundred one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 47 54 94 141 149 282 298 423 447 846 894 1269 1341 2538 2682 3187 4023 6374 7003 8046 9561 14006 19122 21009 28683 42018 57366 63027 86049 93113 126054 149789 172098 186226 189081 279339 299578 378162 449367 474863 558678 838017 898734 949726 1348101 1424589 1676034 2514051 2696202 2849178 4044303 4273767 4376311 5028102 8088606 8547534 8752622 12821301 13128933 13873837 22318561 25642602 26257866 27747674 39386799 41621511 44637122 66955683 78773598 83243022 118160397 124864533 133911366 200867049 236320794 249729066 296751131 374593599 401734098 593502262 602601147 652070339 749187198 890253393 1205202294 1304140678 1780506786 1956211017 2670760179 3912422034 5341520358 5868633051 8012280537 11737266102 13947303157 16024561074 17605899153 27894606314 35211798306 41841909471 44215918519 83683818942 88431837038 125525728413 132647755557 251051456826 265295511114 376577185239 397943266671 753154370478 795886533342 1193829800013 2078148170393 2387659600026 4156296340786 6234444511179 12468889022358 18703333533537 37406667067074 56110000600611 112220001201222