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11211000120012 = 22371112133117013
BaseRepresentation
bin1010001100100100001110…
…1011100000001011001100
31110200202112212121100200010
42203021003223200023030
52432140112012320022
635502132400233220
72234653014463140
oct243110353401314
943622485540603
1011211000120012
113632616330090
12131092530b810
136342676b0384
142aa888559220
151469556e350c
hexa3243ae02cc

11211000120012 has 48 divisors (see below), whose sum is σ = 32613818533632. Its totient is φ = 2911948082880.

The previous prime is 11211000119971. The next prime is 11211000120013. The reversal of 11211000120012 is 21002100011211.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11211000120012.

It is not an unprimeable number, because it can be changed into a prime (11211000120013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6066557583 + ... + 6066559430.

It is an arithmetic number, because the mean of its divisors is an integer number (679454552784).

Almost surely, 211211000120012 is an apocalyptic number.

11211000120012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11211000120012 is an abundant number, since it is smaller than the sum of its proper divisors (21402818413620).

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

11211000120012 is a wasteful number, since it uses less digits than its factorization.

11211000120012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12133117038 (or 12133117036 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11211000120012 its reverse (21002100011211), we get a palindrome (32213100131223).

The spelling of 11211000120012 in words is "eleven trillion, two hundred eleven billion, one hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 12133117013 24266234026 36399351039 48532468052 72798702078 84931819091 133464287143 145597404156 169863638182 254795457273 266928574286 339727276364 400392861429 509590914546 533857148572 800785722858 934250010001 1019181829092 1601571445716 1868500020002 2802750030003 3737000040004 5605500060006 11211000120012