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12200233200221 = 1110150921799901
BaseRepresentation
bin1011000110001001011010…
…0100001110101001011101
31121012022221020011120212002
42301202112210032221131
53044342034144401341
641540413150252045
72366303103101363
oct261422644165135
947168836146762
1012200233200221
1139840a9644860
1214505a14b7025
136a662811b851
143026cca45633
15162551aab29b
hexb189690ea5d

12200233200221 has 32 divisors (see below), whose sum is σ = 13475069366400. Its totient is φ = 10953597600000.

The previous prime is 12200233200203. The next prime is 12200233200223.

It is a happy number.

12200233200221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12200233200221 - 26 = 12200233200157 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12200233200193 and 12200233200202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200233200223) 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, 1232217371 + ... + 1232227271.

It is an arithmetic number, because the mean of its divisors is an integer number (421095917700).

Almost surely, 212200233200221 is an apocalyptic number.

12200233200221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12200233200221 is a deficient number, since it is larger than the sum of its proper divisors (1274836166179).

12200233200221 is a wasteful number, since it uses less digits than its factorization.

12200233200221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12701.

The product of its (nonzero) digits is 576, while the sum is 20.

It can be divided in two parts, 1220023 and 3200221, that added together give a palindrome (4420244).

The spelling of 12200233200221 in words is "twelve trillion, two hundred billion, two hundred thirty-three million, two hundred thousand, two hundred twenty-one".

Divisors: 1 11 101 509 1111 2179 5599 9901 23969 51409 108911 220079 565499 1000001 1109111 2420869 5039609 11000011 12200221 21574279 55435699 112020211 237317069 509000509 1232222321 2179002179 5599005599 10981308011 23969023969 120794388121 1109112109111 12200233200221