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112220001201220 = 2251123911091924501
BaseRepresentation
bin11001100001000001000001…
…010011101110110001000100
3112201100010102211110121120221
4121201001001103232301010
5104202103030301414340
61034401053514034124
732431425146420623
oct3141010123566104
9481303384417527
10112220001201220
1132836265121740
1210704ba3418944
134a803ba8602b3
141d9d696dcb6ba
15ce9176a6b44a
hex6610414eec44

112220001201220 has 96 divisors (see below), whose sum is σ = 258394415731200. Its totient is φ = 40599867840000.

The previous prime is 112220001201197. The next prime is 112220001201223. The reversal of 112220001201220 is 22102100022211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 112220001201194 and 112220001201203.

It is not an unprimeable number, because it can be changed into a prime (112220001201223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57348970 + ... + 59273470.

It is an arithmetic number, because the mean of its divisors is an integer number (2691608497200).

Almost surely, 2112220001201220 is an apocalyptic number.

112220001201220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112220001201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129197207865600).

112220001201220 is an abundant number, since it is smaller than the sum of its proper divisors (146174414529980).

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

112220001201220 is a wasteful number, since it uses less digits than its factorization.

112220001201220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1925869 (or 1925867 counting only the distinct ones).

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

Adding to 112220001201220 its reverse (22102100022211), we get a palindrome (134322101223431).

The spelling of 112220001201220 in words is "one hundred twelve trillion, two hundred twenty billion, one million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 239 478 956 1109 1195 2218 2390 2629 4436 4780 5258 5545 10516 11090 12199 13145 22180 24398 26290 48796 52580 60995 121990 243980 265051 530102 1060204 1325255 1924501 2650510 2915561 3849002 5301020 5831122 7698004 9622505 11662244 14577805 19245010 21169511 29155610 38490020 42339022 58311220 84678044 105847555 211695110 423390220 459955739 919911478 1839822956 2134271609 2299778695 4268543218 4599557390 5059513129 8537086436 9199114780 10119026258 10671358045 20238052516 21342716090 23476987699 25297565645 42685432180 46953975398 50595131290 93907950796 101190262580 117384938495 234769876990 469539753980 510090914551 1020181829102 2040363658204 2550454572755 5100909145510 5611000060061 10201818291020 11222000120122 22444000240244 28055000300305 56110000600610 112220001201220