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121300023222 = 23272372100459
BaseRepresentation
bin111000011111000001…
…0110111011110110110
3102121002121101122002200
41300332002313132312
53441410301220342
6131420252245330
711522633120400
oct1607602673666
9377077348080
10121300023222
1147496778884
121b613170846
13b59162ca91
145c29c71b70
15324e19c94c
hex1c3e0b77b6

121300023222 has 108 divisors (see below), whose sum is σ = 314214870060. Its totient is φ = 33720134112.

The previous prime is 121300023203. The next prime is 121300023227. The reversal of 121300023222 is 222320003121.

121300023222 is a `hidden beast` number, since 121 + 300 + 0 + 23 + 222 = 666.

121300023222 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1213000232222 (a number of 23 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 = 121300023195 and 121300023204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121300023227) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1157229 + ... + 1257687.

It is an arithmetic number, because the mean of its divisors is an integer number (2909396945).

Almost surely, 2121300023222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121300023222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157107435030).

121300023222 is an abundant number, since it is smaller than the sum of its proper divisors (192914846838).

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

121300023222 is a wasteful number, since it uses less digits than its factorization.

121300023222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100555 (or 100508 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 121300023222 its reverse (222320003121), we get a palindrome (343620026343).

The spelling of 121300023222 in words is "one hundred twenty-one billion, three hundred million, twenty-three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 49 63 74 98 111 126 147 222 259 294 333 441 518 666 777 882 1369 1554 1813 2331 2738 3626 4107 4662 5439 8214 9583 10878 12321 16317 19166 24642 28749 32634 57498 67081 86247 100459 134162 172494 200918 201243 301377 402486 602754 603729 703213 904131 1207458 1406426 1808262 2109639 3716983 4219278 4922491 6328917 7433966 9844982 11150949 12657834 14767473 22301898 26018881 29534946 33452847 44302419 52037762 66905694 78056643 88604838 137528371 156113286 182132167 234169929 275056742 364264334 412585113 468339858 546396501 825170226 962698597 1092793002 1237755339 1639189503 1925397194 2475510678 2888095791 3278379006 5776191582 6738890179 8664287373 13477780358 17328574746 20216670537 40433341074 60650011611 121300023222