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12211100120011 = 131667790771263
BaseRepresentation
bin1011000110110001111001…
…0010001111001111001011
31121020100222120012022100211
42301230132102033033023
53100031313112320021
641545411342141551
72400136305304312
oct261543622171713
947210876168324
1012211100120011
113988775747501
1214527148818b7
136a766a5bc6c0
1430303dd93279
1516298ab0e3e1
hexb1b1e48f3cb

12211100120011 has 16 divisors (see below), whose sum is σ = 13160152986624. Its totient is φ = 11263440261024.

The previous prime is 12211100119909. The next prime is 12211100120033. The reversal of 12211100120011 is 11002100111221.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 12211100120011 - 217 = 12211099988939 is a prime.

It is a super-2 number, since 2×122111001200112 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12211100119973 and 12211100120000.

It is not an unprimeable number, because it can be changed into a prime (12211100120081) 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, 171316966 + ... + 171388228.

It is an arithmetic number, because the mean of its divisors is an integer number (822509561664).

Almost surely, 212211100120011 is an apocalyptic number.

12211100120011 is a deficient number, since it is larger than the sum of its proper divisors (949052866613).

12211100120011 is a wasteful number, since it uses less digits than its factorization.

12211100120011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80850.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 12211100120011 its reverse (11002100111221), we get a palindrome (23213200231232).

The spelling of 12211100120011 in words is "twelve trillion, two hundred eleven billion, one hundred million, one hundred twenty thousand, eleven".

Divisors: 1 13 1667 7907 21671 71263 102791 926419 13180969 118795421 171352597 563476541 1544340473 7325195033 939315393847 12211100120011