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112210121111220 = 223251125938687993
BaseRepresentation
bin11001100000110111110100…
…011010001011011010110100
3112201022011221021100001001200
4121200313310122023122310
5104201422312001024340
61034352341253252500
732430625256143536
oct3140676432133264
9481264837301050
10112210121111220
1132832055067900
12107030a6634130
134a7c4a4967ab2
141d9cddab5d856
15ce8c99497330
hex660df468b6b4

112210121111220 has 216 divisors, whose sum is σ = 374757420485448. Its totient is φ = 27156577873920.

The previous prime is 112210121111219. The next prime is 112210121111237. The reversal of 112210121111220 is 22111121012211.

It is a happy number.

112210121111220 is a `hidden beast` number, since 1 + 1 + 2 + 210 + 121 + 111 + 220 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18789468041124 + 93420653070096 = 4334682^2 + 9665436^2 .

It is a super-2 number, since 2×1122101211112202 (a number of 29 digits) contains 22 as substring.

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 = 112210121111193 and 112210121111202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8571544 + ... + 17259536.

It is an arithmetic number, because the mean of its divisors is an integer number (1734988057803).

Almost surely, 2112210121111220 is an apocalyptic number.

112210121111220 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 112210121111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187378710242724).

112210121111220 is an abundant number, since it is smaller than the sum of its proper divisors (262547299374228).

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

112210121111220 is a wasteful number, since it uses less digits than its factorization.

112210121111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8688623 (or 8688607 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 112210121111220 its reverse (22111121012211), we get a palindrome (134321242123431).

Subtracting from 112210121111220 its reverse (22111121012211), we obtain a palindrome (90099000099009).

The spelling of 112210121111220 in words is "one hundred twelve trillion, two hundred ten billion, one hundred twenty-one million, one hundred eleven thousand, two hundred twenty".