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12211201120120 = 2356123332145131
BaseRepresentation
bin1011000110110010010001…
…0011100001011101111000
31121020101020121020122110121
42301230210103201131320
53100032014441320440
641545425351023024
72400141642633262
oct261544423413570
947211217218417
1012211201120120
113988817761372
12145274266aa74
136a76854c3492
1430304d564b32
1516299491034a
hexb1b244e1778

12211201120120 has 64 divisors (see below), whose sum is σ = 27937598531040. Its totient is φ = 4802345433600.

The previous prime is 12211201120091. The next prime is 12211201120133. The reversal of 12211201120120 is 2102110211221.

It is a super-2 number, since 2×122112011201202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12211201120094 and 12211201120103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4619955 + ... + 6765085.

Almost surely, 212211201120120 is an apocalyptic number.

12211201120120 is a gapful number since it is divisible by the number (10) 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 12211201120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13968799265520).

12211201120120 is an abundant number, since it is smaller than the sum of its proper divisors (15726397410920).

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

12211201120120 is a wasteful number, since it uses less digits than its factorization.

12211201120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2147536 (or 2147532 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12211201120120 its reverse (2102110211221), we get a palindrome (14313311331341).

The spelling of 12211201120120 in words is "twelve trillion, two hundred eleven billion, two hundred one million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 1220 2333 2440 4666 9332 11665 18664 23330 46660 93320 142313 284626 569252 711565 1138504 1423130 2145131 2846260 4290262 5692520 8580524 10725655 17161048 21451310 42902620 85805240 130852991 261705982 523411964 654264955 1046823928 1308529910 2617059820 5004590623 5234119640 10009181246 20018362492 25022953115 40036724984 50045906230 100091812460 200183624920 305280028003 610560056006 1221120112012 1526400140015 2442240224024 3052800280030 6105600560060 12211201120120