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12221321210232 = 2333147355798257
BaseRepresentation
bin1011000111010111111110…
…0000100110100101111000
31121021100100212222111020220
42301311333200212211320
53100213231212211412
641554221503420040
72400650506163211
oct261657740464570
947240325874226
1012221321210232
113992040239902
1214546a78b4620
136a8609039894
1430372d628408
15162d880e068c
hexb1d7f826978

12221321210232 has 128 divisors (see below), whose sum is σ = 32219317002240. Its totient is φ = 3857357629440.

The previous prime is 12221321210209. The next prime is 12221321210269. The reversal of 12221321210232 is 23201212312221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124332048 + ... + 124430304.

It is an arithmetic number, because the mean of its divisors is an integer number (251713414080).

Almost surely, 212221321210232 is an apocalyptic number.

12221321210232 is a gapful number since it is divisible by the number (12) 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 12221321210232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16109658501120).

12221321210232 is an abundant number, since it is smaller than the sum of its proper divisors (19997995792008).

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

12221321210232 is a wasteful number, since it uses less digits than its factorization.

12221321210232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101901 (or 101897 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 12221321210232 its reverse (23201212312221), we get a palindrome (35422533522453).

The spelling of 12221321210232 in words is "twelve trillion, two hundred twenty-one billion, three hundred twenty-one million, two hundred ten thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 31 47 62 93 94 124 141 186 188 248 282 372 376 564 744 1128 1457 2914 3557 4371 5828 7114 8742 10671 11656 14228 17484 21342 28456 34968 42684 85368 98257 110267 167179 196514 220534 294771 330801 334358 393028 441068 501537 589542 661602 668716 786056 882136 1003074 1179084 1323204 1337432 2006148 2358168 2646408 3045967 4012296 4618079 5182549 6091934 9137901 9236158 10365098 12183868 13854237 15547647 18275802 18472316 20730196 24367736 27708474 31095294 36551604 36944632 41460392 55416948 62190588 73103208 110833896 124381176 143160449 286320898 349500149 429481347 572641796 699000298 858962694 1048500447 1145283592 1398000596 1717925388 2097000894 2796001192 3435850776 4194001788 8388003576 10834504619 16426507003 21669009238 32503513857 32853014006 43338018476 49279521009 65007027714 65706028012 86676036952 98559042018 130014055428 131412056024 197118084036 260028110856 394236168072 509221717093 1018443434186 1527665151279 2036886868372 3055330302558 4073773736744 6110660605116 12221321210232