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12021101221000 = 2353347101933997
BaseRepresentation
bin1010111011101110000101…
…1101111101010010001000
31120120012120012202012021011
42232323201131331102020
53033423203403033000
641322230114253304
72350332044306164
oct256734135752210
946505505665234
1012021101221000
113915136282523
12142192a587234
1369277b284b81
142d7b7823dca4
1515ca6a6b42ba
hexaeee177d488

12021101221000 has 128 divisors (see below), whose sum is σ = 28238956387200. Its totient is φ = 4789737235200.

The previous prime is 12021101220977. The next prime is 12021101221001. The reversal of 12021101221000 is 12210112021.

It is not an unprimeable number, because it can be changed into a prime (12021101221001) 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, 353576002 + ... + 353609998.

It is an arithmetic number, because the mean of its divisors is an integer number (220616846775).

Almost surely, 212021101221000 is an apocalyptic number.

12021101221000 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 12021101221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14119478193600).

12021101221000 is an abundant number, since it is smaller than the sum of its proper divisors (16217855166200).

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

12021101221000 is a wasteful number, since it uses less digits than its factorization.

12021101221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35384 (or 35370 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12021101221000 its reverse (12210112021), we get a palindrome (12033311333021).

The spelling of 12021101221000 in words is "twelve trillion, twenty-one billion, one hundred one million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 347 500 694 1000 1019 1388 1735 2038 2776 3470 4076 5095 6940 8152 8675 10190 13880 17350 20380 25475 33997 34700 40760 43375 50950 67994 69400 86750 101900 127375 135988 169985 173500 203800 254750 271976 339970 347000 353593 509500 679940 707186 849925 1019000 1359880 1414372 1699850 1767965 2828744 3399700 3535930 4249625 6799400 7071860 8499250 8839825 11796959 14143720 16998500 17679650 23593918 33997000 34642943 35359300 44199125 47187836 58984795 69285886 70718600 88398250 94375672 117969590 138571772 173214715 176796500 235939180 277143544 294923975 346429430 353593000 471878360 589847950 692858860 866073575 1179695900 1385717720 1474619875 1732147150 2359391800 2949239750 3464294300 4330367875 5898479500 6928588600 8660735750 11796959000 12021101221 17321471500 24042202442 34642943000 48084404884 60105506105 96168809768 120211012210 240422024420 300527530525 480844048840 601055061050 1202110122100 1502637652625 2404220244200 3005275305250 6010550610500 12021101221000