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12002210121210 = 2353759239766811
BaseRepresentation
bin1010111010100111101101…
…1110001000010111111010
31120111101210122210220010120
42232221323132020113322
53033121011242334320
641305423400354110
72346062645514411
oct256517336102772
946441718726116
1012002210121210
113908121797661
12141a137a75936
13690a5a55600a
142d6ca5332478
1515c311e8b440
hexaea7b7885fa

12002210121210 has 128 divisors (see below), whose sum is σ = 30211165900800. Its totient is φ = 3048493029120.

The previous prime is 12002210121191. The next prime is 12002210121211. The reversal of 12002210121210 is 1212101220021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12002210121210.

It is not an unprimeable number, because it can be changed into a prime (12002210121211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15268705 + ... + 16035515.

It is an arithmetic number, because the mean of its divisors is an integer number (236024733600).

Almost surely, 212002210121210 is an apocalyptic number.

12002210121210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12002210121210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15105582950400).

12002210121210 is an abundant number, since it is smaller than the sum of its proper divisors (18208955779590).

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

12002210121210 is a wasteful number, since it uses less digits than its factorization.

12002210121210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767156.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12002210121210 its reverse (1212101220021), we get a palindrome (13214311341231).

The spelling of 12002210121210 in words is "twelve trillion, two billion, two hundred ten million, one hundred twenty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 59 74 111 118 177 185 222 239 295 354 370 478 555 590 717 885 1110 1195 1434 1770 2183 2390 3585 4366 6549 7170 8843 10915 13098 14101 17686 21830 26529 28202 32745 42303 44215 53058 65490 70505 84606 88430 132645 141010 211515 265290 423030 521737 766811 1043474 1533622 1565211 2300433 2608685 3130422 3834055 4600866 5217370 7668110 7826055 11502165 15652110 23004330 28372007 45241849 56744014 85116021 90483698 135725547 141860035 170232042 183267829 226209245 271451094 283720070 366535658 425580105 452418490 549803487 678627735 851160210 916339145 1099606974 1357255470 1673948413 1832678290 2749017435 3347896826 5021845239 5498034870 6780909673 8369742065 10043690478 10812801911 13561819346 16739484130 20342729019 21625603822 25109226195 32438405733 33904548365 40685458038 50218452390 54064009555 64876811466 67809096730 101713645095 108128019110 162192028665 203427290190 324384057330 400073670707 800147341414 1200221012121 2000368353535 2400442024242 4000736707070 6001105060605 12002210121210