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12000210211121 = 112229734317037
BaseRepresentation
bin1010111010100000010001…
…0001000101000100110001
31120111012122021121221020112
42232220010101011010301
53033102412303223441
641304453115351105
72345662252535636
oct256500421050461
946435567557215
1012000210211121
113907295901600
12141987a152495
136907cc110872
142d6b5589c18d
1515c2465e54eb
hexaea04445131

12000210211121 has 12 divisors (see below), whose sum is σ = 13190890924596. Its totient is φ = 10908804609120.

The previous prime is 12000210211079. The next prime is 12000210211141. The reversal of 12000210211121 is 12111201200021.

It can be written as a sum of positive squares in 2 ways, for example, as 4236681222400 + 7763528988721 = 2058320^2 + 2786311^2 .

It is not a de Polignac number, because 12000210211121 - 26 = 12000210211057 is a prime.

It is a super-2 number, since 2×120002102111212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12000210211096 and 12000210211105.

It is not an unprimeable number, because it can be changed into a prime (12000210211141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 621215 + ... + 4938251.

It is an arithmetic number, because the mean of its divisors is an integer number (1099240910383).

Almost surely, 212000210211121 is an apocalyptic number.

12000210211121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12000210211121 is a deficient number, since it is larger than the sum of its proper divisors (1190680713475).

12000210211121 is a wasteful number, since it uses less digits than its factorization.

12000210211121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4340032 (or 4340021 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12000210211121 its reverse (12111201200021), we get a palindrome (24111411411142).

The spelling of 12000210211121 in words is "twelve trillion, two hundred ten million, two hundred eleven thousand, one hundred twenty-one".

Divisors: 1 11 121 22973 252703 2779733 4317037 47487407 522361477 99175291001 1090928201011 12000210211121