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12001200011000 = 235329340959727
BaseRepresentation
bin1010111010100011111101…
…0000110111011011111000
31120111022012021002222102022
42232220333100313123320
53033111424200323000
641305135234254012
72346025631644604
oct256507720673370
946438167088368
1012001200011000
113907753598932
121419ab5727308
136909291b9075
142d6c0b112504
1515c2a345e585
hexaea3f4376f8

12001200011000 has 64 divisors (see below), whose sum is σ = 28178654474880. Its totient is φ = 4784095996800.

The previous prime is 12001200010999. The next prime is 12001200011083. The reversal of 12001200011000 is 11000210021.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20186864 + ... + 20772863.

It is an arithmetic number, because the mean of its divisors is an integer number (440291476170).

Almost surely, 212001200011000 is an apocalyptic number.

12001200011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001200011000 is an abundant number, since it is smaller than the sum of its proper divisors (16177454463880).

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

12001200011000 is a wasteful number, since it uses less digits than its factorization.

12001200011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40960041 (or 40960027 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 12001200011000 its reverse (11000210021), we get a palindrome (12012200221021).

The spelling of 12001200011000 in words is "twelve trillion, one billion, two hundred million, eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 293 500 586 1000 1172 1465 2344 2930 5860 7325 11720 14650 29300 36625 58600 73250 146500 293000 40959727 81919454 163838908 204798635 327677816 409597270 819194540 1023993175 1638389080 2047986350 4095972700 5119965875 8191945400 10239931750 12001200011 20479863500 24002400022 40959727000 48004800044 60006000055 96009600088 120012000110 240024000220 300030000275 480048000440 600060000550 1200120001100 1500150001375 2400240002200 3000300002750 6000600005500 12001200011000