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12200222222201 = 135356931119761
BaseRepresentation
bin1011000110001001010111…
…1010010110011101111001
31121012022220110111211211202
42301202111322112131321
53044342023342102301
641540412115103545
72366302610556446
oct261422572263571
947168813454752
1012200222222201
1139840a3426912
1214505998a1bb5
136a6625a76a90
143026cb3c89cd
15162550b3d66b
hexb1895e96779

12200222222201 has 16 divisors (see below), whose sum is σ = 13410127841040. Its totient is φ = 11029838776320.

The previous prime is 12200222222161. The next prime is 12200222222239. The reversal of 12200222222201 is 10222222200221.

It can be written as a sum of positive squares in 8 ways, for example, as 2082580903225 + 10117641318976 = 1443115^2 + 3180824^2 .

It is a de Polignac number, because none of the positive numbers 2k-12200222222201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12200222225201) 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, 15167840 + ... + 15951921.

It is an arithmetic number, because the mean of its divisors is an integer number (838132990065).

Almost surely, 212200222222201 is an apocalyptic number.

It is an amenable number.

12200222222201 is a deficient number, since it is larger than the sum of its proper divisors (1209905618839).

12200222222201 is a wasteful number, since it uses less digits than its factorization.

12200222222201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31120396.

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 12200222222201 its reverse (10222222200221), we get a palindrome (22422444422422).

The spelling of 12200222222201 in words is "twelve trillion, two hundred billion, two hundred twenty-two million, two hundred twenty-two thousand, two hundred one".

Divisors: 1 13 53 569 689 7397 30157 392041 31119761 404556893 1649347333 17707144009 21441515329 230192872117 938478632477 12200222222201