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120200211212020 = 225291736531834501
BaseRepresentation
bin11011010101001001001010…
…111001000010011011110100
3120202121000202101111101212021
4123111021022321002123310
5111223330013032241040
61103351114214002524
734214115200333512
oct3325111271023364
9522530671441767
10120200211212020
11353326946860a5
1211593733646444
13520baa642a574
142197a152114b2
15dd6a3b3eb24a
hex6d524ae426f4

120200211212020 has 96 divisors (see below), whose sum is σ = 263036326885920. Its totient is φ = 46083109632000.

The previous prime is 120200211211771. The next prime is 120200211212047. The reversal of 120200211212020 is 20212112002021.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 22132941248356 + 98067269963664 = 4704566^2 + 9902892^2 .

It is a junction number, because it is equal to n+sod(n) for n = 120200211211985 and 120200211212003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64604770 + ... + 66439270.

It is an arithmetic number, because the mean of its divisors is an integer number (2739961738395).

Almost surely, 2120200211212020 is an apocalyptic number.

120200211212020 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 120200211212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131518163442960).

120200211212020 is an abundant number, since it is smaller than the sum of its proper divisors (142836115673900).

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

120200211212020 is a wasteful number, since it uses less digits than its factorization.

120200211212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1835365 (or 1835363 counting only the distinct ones).

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

Adding to 120200211212020 its reverse (20212112002021), we get a palindrome (140412323214041).

The spelling of 120200211212020 in words is "one hundred twenty trillion, two hundred billion, two hundred eleven million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 173 290 346 580 653 692 865 1306 1730 2612 3265 3460 5017 6530 10034 13060 18937 20068 25085 37874 50170 75748 94685 100340 112969 189370 225938 378740 451876 564845 1129690 1834501 2259380 3276101 3669002 6552202 7338004 9172505 13104404 16380505 18345010 32761010 36690020 53200529 65522020 106401058 212802116 266002645 317368673 532005290 634737346 1064010580 1197929153 1269474692 1586843365 2395858306 3173686730 4791716612 5989645765 6347373460 9203691517 11979291530 18407383034 23958583060 34739945437 36814766068 46018457585 69479890874 92036915170 138959781748 173699727185 184073830340 207241743469 347399454370 414483486938 694798908740 828966973876 1036208717345 2072417434690 4144834869380 6010010560601 12020021121202 24040042242404 30050052803005 60100105606010 120200211212020