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12011112000020 = 2257415399387577
BaseRepresentation
bin1010111011001000111000…
…0100000110101000010100
31120112020210001021012011202
42232302032010012220110
53033242224133000040
641313454554452032
72346526360320020
oct256621604065024
946466701235152
1012011112000020
11391097a65a9a1
12141ba01134018
1369184889ca23
142d74ab6c5380
1515c683735015
hexaec8e106a14

12011112000020 has 96 divisors (see below), whose sum is σ = 29535303974400. Its totient is φ = 4016899676160.

The previous prime is 12011112000011. The next prime is 12011112000049. The reversal of 12011112000020 is 2000021111021.

It is a super-2 number, since 2×120111120000202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12011111999965 and 12011112000010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30796472 + ... + 31184048.

It is an arithmetic number, because the mean of its divisors is an integer number (307659416400).

Almost surely, 212011112000020 is an apocalyptic number.

12011112000020 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 12011112000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14767651987200).

12011112000020 is an abundant number, since it is smaller than the sum of its proper divisors (17524191974380).

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

12011112000020 is a wasteful number, since it uses less digits than its factorization.

12011112000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393033 (or 393031 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12011112000020 its reverse (2000021111021), we get a palindrome (14011133111041).

The spelling of 12011112000020 in words is "twelve trillion, eleven billion, one hundred twelve million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 140 164 205 287 410 574 820 1148 1435 2870 5399 5740 10798 21596 26995 37793 53990 75586 107980 151172 188965 221359 377930 387577 442718 755860 775154 885436 1106795 1549513 1550308 1937885 2213590 2713039 3099026 3875770 4427180 5426078 6198052 7747565 7751540 10852156 13565195 15495130 15890657 27130390 30990260 31781314 54260780 63562628 79453285 111234599 158906570 222469198 317813140 444938396 556172995 1112345990 2092528223 2224691980 4185056446 8370112892 10462641115 14647697561 20925282230 29295395122 41850564460 58590790244 73238487805 85793657143 146476975610 171587314286 292953951220 343174628572 428968285715 600555600001 857936571430 1201111200002 1715873142860 2402222400004 3002778000005 6005556000010 12011112000020