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12200211001011 = 3112313473124421
BaseRepresentation
bin1011000110001001010100…
…1111100010111010110011
31121012022212200101202021010
42301202111033202322303
53044342013004013021
641540411034402003
72366302413312555
oct261422517427263
947168780352233
1012200211001011
113984098062200
121450595b90303
136a6623648417
143026c9b074d5
1516254eb73976
hexb18953e2eb3

12200211001011 has 48 divisors (see below), whose sum is σ = 18510175724544. Its totient is φ = 7134925512000.

The previous prime is 12200211000979. The next prime is 12200211001037. The reversal of 12200211001011 is 11010011200221.

It is not a de Polignac number, because 12200211001011 - 25 = 12200211000979 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12200211001411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2342581 + ... + 5467001.

It is an arithmetic number, because the mean of its divisors is an integer number (385628660928).

Almost surely, 212200211001011 is an apocalyptic number.

12200211001011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12200211001011 is a deficient number, since it is larger than the sum of its proper divisors (6309964723533).

12200211001011 is a wasteful number, since it uses less digits than its factorization.

12200211001011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3124824 (or 3124813 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12200211001011 its reverse (11010011200221), we get a palindrome (23210222201232).

The spelling of 12200211001011 in words is "twelve trillion, two hundred billion, two hundred eleven million, one thousand, eleven".

Divisors: 1 3 11 31 33 93 121 341 347 363 1023 1041 3751 3817 10757 11253 11451 32271 41987 118327 125961 354981 1301597 3124421 3904791 9373263 34368631 96857051 103105893 290571153 378054941 1065427561 1084174087 1134164823 3196282683 3252522261 11719703171 11925914957 33609396697 35159109513 35777744871 100828190091 131185064527 369703363667 393555193581 1109110091001 4066737000337 12200211001011