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12121000001123 = 1313914431464819
BaseRepresentation
bin1011000001100010001111…
…1001100011111001100011
31120220202102022221000221112
42300120203321203321203
53042042302000013443
641440151024013535
72360466452032046
oct260304371437143
946822368830845
1012121000001123
11395353a563632
12143916a4612ab
1369c00bb147a0
142dc933a72c5d
15160465aa7b18
hexb0623e63e63

12121000001123 has 16 divisors (see below), whose sum is σ = 13148233190400. Its totient is φ = 11107328113440.

The previous prime is 12121000001107. The next prime is 12121000001167. The reversal of 12121000001123 is 32110000012121.

12121000001123 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12121000001123 - 24 = 12121000001107 is a prime.

It is a super-2 number, since 2×121210000011232 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12121000001098 and 12121000001107.

It is not an unprimeable number, because it can be changed into a prime (12121000001183) 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, 25844408 + ... + 26309226.

It is an arithmetic number, because the mean of its divisors is an integer number (821764574400).

Almost surely, 212121000001123 is an apocalyptic number.

12121000001123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

12121000001123 is a deficient number, since it is larger than the sum of its proper divisors (1027233189277).

12121000001123 is a wasteful number, since it uses less digits than its factorization.

12121000001123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479402.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 12121000001123 its reverse (32110000012121), we get a palindrome (44231000013244).

The spelling of 12121000001123 in words is "twelve trillion, one hundred twenty-one billion, one thousand, one hundred twenty-three".

Divisors: 1 13 139 1807 14431 187603 464819 2005909 6042647 26076817 64609841 839927933 6707802989 87201438857 932384615471 12121000001123