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12200211021222 = 23271937419328721
BaseRepresentation
bin1011000110001001010100…
…1111100111110110100110
31121012022212200102202222200
42301202111033213312212
53044342013010134342
641540411035035330
72366302413425520
oct261422517476646
947168780382880
1012200211021222
113984098076404
121450595b9bb46
136a6623654693
143026c9b10a10
1516254eb7994c
hexb18953e7da6

12200211021222 has 192 divisors, whose sum is σ = 32737555468800. Its totient is φ = 3205382906880.

The previous prime is 12200211021217. The next prime is 12200211021247. The reversal of 12200211021222 is 22212011200221.

It is a happy number.

12200211021222 is a `hidden beast` number, since 1 + 220 + 0 + 211 + 0 + 212 + 22 = 666.

It is a super-2 number, since 2×122002110212222 (a number of 27 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 = 12200211021195 and 12200211021204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36949822 + ... + 37278542.

It is an arithmetic number, because the mean of its divisors is an integer number (170508101400).

Almost surely, 212200211021222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12200211021222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16368777734400).

12200211021222 is an abundant number, since it is smaller than the sum of its proper divisors (20537344447578).

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

12200211021222 is a wasteful number, since it uses less digits than its factorization.

12200211021222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329211 (or 329208 counting only the distinct ones).

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

Adding to 12200211021222 its reverse (22212011200221), we get a palindrome (34412222221443).

The spelling of 12200211021222 in words is "twelve trillion, two hundred billion, two hundred eleven million, twenty-one thousand, two hundred twenty-two".