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12200221101222 = 2337112934156109
BaseRepresentation
bin1011000110001001010111…
…0110000100110010100110
31121012022220101101220011000
42301202111312010302212
53044342023100214342
641540412035054130
72366302565210340
oct261422566046246
947168811356130
1012200221101222
1139840a2830690
121450599441346
136a662577378b
143026cb1b6290
151625509bb44c
hexb1895d84ca6

12200221101222 has 64 divisors (see below), whose sum is σ = 33801478387200. Its totient is φ = 3168888596640.

The previous prime is 12200221101221. The next prime is 12200221101259. The reversal of 12200221101222 is 22210112200221.

It is a happy number.

12200221101222 is a `hidden beast` number, since 1 + 220 + 0 + 221 + 1 + 0 + 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 = 12200221101195 and 12200221101204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200221101221) 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, 1467073897 + ... + 1467082212.

It is an arithmetic number, because the mean of its divisors is an integer number (528148099800).

Almost surely, 212200221101222 is an apocalyptic number.

12200221101222 is an abundant number, since it is smaller than the sum of its proper divisors (21601257285978).

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

12200221101222 is a wasteful number, since it uses less digits than its factorization.

12200221101222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2934156138 (or 2934156132 counting only the distinct ones).

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

Adding to 12200221101222 its reverse (22210112200221), we get a palindrome (34410333301443).

The spelling of 12200221101222 in words is "twelve trillion, two hundred billion, two hundred twenty-one million, one hundred one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 126 154 189 198 231 297 378 462 594 693 1386 2079 4158 2934156109 5868312218 8802468327 17604936654 20539092763 26407404981 32275717199 41078185526 52814809962 61617278289 64551434398 79222214943 96827151597 123234556578 158444429886 184851834867 193654303194 225930020393 290481454791 369703669734 451860040786 554555504601 580962909582 677790061179 871444364373 1109111009202 1355580122358 1742888728746 2033370183537 4066740367074 6100110550611 12200221101222