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12000210211020 = 223511316310858543
BaseRepresentation
bin1010111010100000010001…
…0001000101000011001100
31120111012122021121221002210
42232220010101011003030
53033102412303223040
641304453115350420
72345662252535433
oct256500421050314
946435567557083
1012000210211020
113907295901519
12141987a152410
136907cc1107c5
142d6b5589c11a
1515c2465e5480
hexaea044450cc

12000210211020 has 96 divisors (see below), whose sum is σ = 34105904888832. Its totient is φ = 3152278176768.

The previous prime is 12000210211009. The next prime is 12000210211021. The reversal of 12000210211020 is 2011201200021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12000210210987 and 12000210211005.

It is not an unprimeable number, because it can be changed into a prime (12000210211021) 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, 4324132 + ... + 6534411.

It is an arithmetic number, because the mean of its divisors is an integer number (355269842592).

Almost surely, 212000210211020 is an apocalyptic number.

12000210211020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000210211020 is an abundant number, since it is smaller than the sum of its proper divisors (22105694677812).

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

12000210211020 is a wasteful number, since it uses less digits than its factorization.

12000210211020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10858831 (or 10858829 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12000210211020 its reverse (2011201200021), we get a palindrome (14011411411041).

The spelling of 12000210211020 in words is "twelve trillion, two hundred ten million, two hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 113 163 226 326 339 452 489 565 652 678 815 978 1130 1356 1630 1695 1956 2260 2445 3260 3390 4890 6780 9780 18419 36838 55257 73676 92095 110514 184190 221028 276285 368380 552570 1105140 10858543 21717086 32575629 43434172 54292715 65151258 108585430 130302516 162878145 217170860 325756290 651512580 1227015359 1769942509 2454030718 3539885018 3681046077 4908061436 5309827527 6135076795 7079770036 7362092154 8849712545 10619655054 12270153590 14724184308 17699425090 18405230385 21239310108 24540307180 26549137635 35398850180 36810460770 53098275270 73620921540 106196550540 200003503517 400007007034 600010510551 800014014068 1000017517585 1200021021102 2000035035170 2400042042204 3000052552755 4000070070340 6000105105510 12000210211020