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12220022012121 = 3272114753597293
BaseRepresentation
bin1011000111010011001000…
…0100100011100011011001
31121021020000100022101111100
42301310302010203203121
53100203101113341441
641553444533222013
72400603352162500
oct261646204434331
947236010271440
1012220022012121
11399153393a060
1214543a4791909
136a845cb228c1
14303648c75837
15162d0e00ccb6
hexb1d321238d9

12220022012121 has 72 divisors (see below), whose sum is σ = 22876182635904. Its totient is φ = 6212998088640.

The previous prime is 12220022012117. The next prime is 12220022012123. The reversal of 12220022012121 is 12121022002221.

It is a happy number.

12220022012121 is a `hidden beast` number, since 12 + 220 + 0 + 220 + 1 + 212 + 1 = 666.

It is not a de Polignac number, because 12220022012121 - 22 = 12220022012117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12220022012094 and 12220022012103.

It is not an unprimeable number, because it can be changed into a prime (12220022012123) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26570650 + ... + 27026643.

It is an arithmetic number, because the mean of its divisors is an integer number (317724758832).

Almost surely, 212220022012121 is an apocalyptic number.

12220022012121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12220022012121 is a deficient number, since it is larger than the sum of its proper divisors (10656160623783).

12220022012121 is a wasteful number, since it uses less digits than its factorization.

12220022012121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53597371 (or 53597361 counting only the distinct ones).

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

Adding to 12220022012121 its reverse (12121022002221), we get a palindrome (24341044014342).

The spelling of 12220022012121 in words is "twelve trillion, two hundred twenty billion, twenty-two million, twelve thousand, one hundred twenty-one".

Divisors: 1 3 7 9 11 21 33 47 49 63 77 99 141 147 231 329 423 441 517 539 693 987 1551 1617 2303 2961 3619 4653 4851 6909 10857 20727 25333 32571 75999 227997 53597293 160791879 375181051 482375637 589570223 1125543153 1768710669 2519072771 2626267357 3376629459 4126991561 5306132007 7557218313 7878802071 12380974683 17633509397 22671654939 23636406213 27709800481 28888940927 37142924049 52900528191 83129401443 86666822781 123434565779 158701584573 193968603367 249388204329 260000468343 370303697337 581905810101 1110911092011 1357780223569 1745717430303 4073340670707 12220022012121