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12102200203221 = 3211260111942069
BaseRepresentation
bin1011000000011100001101…
…0110000001011111010101
31120211221220010210100110100
42300013003112001133111
53041240301223000341
641423401331044313
72356232542264452
oct260070326013725
946757803710410
1012102200203221
113946572569177
1214355a2440699
1369a303ca230b
142dba6cd30829
1515ec153b73b6
hexb01c35817d5

12102200203221 has 12 divisors (see below), whose sum is σ = 17481112559820. Its totient is φ = 8068061140800.

The previous prime is 12102200203211. The next prime is 12102200203229. The reversal of 12102200203221 is 12230200220121.

12102200203221 is a `hidden beast` number, since 1 + 21 + 0 + 220 + 0 + 203 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2652810275025 + 9449389928196 = 1628745^2 + 3073986^2 .

It is not a de Polignac number, because 12102200203221 - 238 = 11827322296277 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12102200203194 and 12102200203203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12102200203229) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4957626 + ... + 6984443.

It is an arithmetic number, because the mean of its divisors is an integer number (1456759379985).

Almost surely, 212102200203221 is an apocalyptic number.

It is an amenable number.

12102200203221 is a deficient number, since it is larger than the sum of its proper divisors (5378912356599).

12102200203221 is a wasteful number, since it uses less digits than its factorization.

12102200203221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12054676 (or 12054673 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12102200203221 its reverse (12230200220121), we get a palindrome (24332400423342).

The spelling of 12102200203221 in words is "twelve trillion, one hundred two billion, two hundred million, two hundred three thousand, two hundred twenty-one".

Divisors: 1 3 9 112601 337803 1013409 11942069 35826207 107478621 1344688911469 4034066734407 12102200203221