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200212120121020 = 225710127751116509
BaseRepresentation
bin101101100001011110000100…
…010011001010111010111100
3222020220002110220001200110221
4231201132010103022322330
5202220233410222333040
61545452102255511124
760112563656512360
oct5541360423127274
9866802426050427
10200212120121020
115888053531a897
121a556549b284a4
138793bca5ac8a7
1437624656712a0
151822e9b5b074a
hexb617844caebc

200212120121020 has 96 divisors (see below), whose sum is σ = 487018478540160. Its totient is φ = 67719149798400.

The previous prime is 200212120120879. The next prime is 200212120121021. The reversal of 200212120121020 is 20121021212002.

It is a happy number.

200212120121020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 200212120120985 and 200212120121003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200212120121021) 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, 21641475 + ... + 29475034.

It is an arithmetic number, because the mean of its divisors is an integer number (5073109151460).

Almost surely, 2200212120121020 is an apocalyptic number.

200212120121020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200212120121020 is an abundant number, since it is smaller than the sum of its proper divisors (286806358419140).

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

200212120121020 is a wasteful number, since it uses less digits than its factorization.

200212120121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51116903 (or 51116901 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 200212120121020 its reverse (20121021212002), we get a palindrome (220333141333022).

The spelling of 200212120121020 in words is "two hundred trillion, two hundred twelve billion, one hundred twenty million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 101 140 202 277 404 505 554 707 1010 1108 1385 1414 1939 2020 2770 2828 3535 3878 5540 7070 7756 9695 14140 19390 27977 38780 55954 111908 139885 195839 279770 391678 559540 783356 979195 1958390 3916780 51116509 102233018 204466036 255582545 357815563 511165090 715631126 1022330180 1431262252 1789077815 3578155630 5162767409 7156311260 10325534818 14159272993 20651069636 25813837045 28318545986 36139371863 51627674090 56637091972 70796364965 72278743726 99114910951 103255348180 141592729930 144557487452 180696859315 198229821902 283185459860 361393718630 396459643804 495574554755 722787437260 991149109510 1430086572293 1982298219020 2860173144586 5720346289172 7150432861465 10010606006051 14300865722930 20021212012102 28601731445860 40042424024204 50053030030255 100106060060510 200212120121020