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12200211200221 = 1119234585355351
BaseRepresentation
bin1011000110001001010101…
…0000010011100011011101
31121012022212200202212112021
42301202111100103203131
53044342013031401341
641540411042540141
72366302415102422
oct261422520234335
947168780685467
1012200211200221
113984098188940
121450596067651
136a66236b7cb5
143026c9b59d49
1516254ebb29d1
hexb18954138dd

12200211200221 has 32 divisors (see below), whose sum is σ = 14619517102080. Its totient is φ = 10050116472000.

The previous prime is 12200211200213. The next prime is 12200211200237.

It is a happy number.

12200211200221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12200211200221 - 23 = 12200211200213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12200211200195 and 12200211200204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200211200921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220387696 + ... + 220443046.

It is an arithmetic number, because the mean of its divisors is an integer number (456859909440).

Almost surely, 212200211200221 is an apocalyptic number.

12200211200221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12200211200221 is a deficient number, since it is larger than the sum of its proper divisors (2419305901859).

12200211200221 is a wasteful number, since it uses less digits than its factorization.

12200211200221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101257.

The product of its (nonzero) digits is 64, while the sum is 16.

It can be divided in two parts, 1220021 and 1200221, that added together give a palindrome (2420242).

The spelling of 12200211200221 in words is "twelve trillion, two hundred billion, two hundred eleven million, two hundred thousand, two hundred twenty-one".

Divisors: 1 11 19 23 209 253 437 4807 45853 55351 504383 608861 871207 1051669 1054619 1273073 9583277 11568359 11600809 14003803 20037761 24188387 220415371 266072257 2538009403 27918103433 48222178657 58374216269 530443965227 642116378959 1109110109111 12200211200221