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12210000213321 = 3310116001279823
BaseRepresentation
bin1011000110101101110010…
…1110011011010101001001
31121020021010220112021001000
42301223130232123111021
53100022040023311241
641545110251245213
72400100121250261
oct261533456332511
947207126467030
1012210000213321
113988260896309
121452468449809
136a7523772341
14302d77c7a7a1
15162924295eb6
hexb1adcb9b549

12210000213321 has 32 divisors (see below), whose sum is σ = 18269194083840. Its totient is φ = 8058873600000.

The previous prime is 12210000213311. The next prime is 12210000213331. The reversal of 12210000213321 is 12331200001221.

12210000213321 is a `hidden beast` number, since 122 + 10 + 0 + 0 + 0 + 213 + 321 = 666.

It is an interprime number because it is at equal distance from previous prime (12210000213311) and next prime (12210000213331).

It is not a de Polignac number, because 12210000213321 - 222 = 12209996019017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12210000213294 and 12210000213303.

It is not an unprimeable number, because it can be changed into a prime (12210000213311) 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, 43494816 + ... + 43774638.

It is an arithmetic number, because the mean of its divisors is an integer number (570912315120).

Almost surely, 212210000213321 is an apocalyptic number.

It is an amenable number.

12210000213321 is a deficient number, since it is larger than the sum of its proper divisors (6059193870519).

12210000213321 is a wasteful number, since it uses less digits than its factorization.

12210000213321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295934 (or 295928 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12210000213321 its reverse (12331200001221), we get a palindrome (24541200214542).

The spelling of 12210000213321 in words is "twelve trillion, two hundred ten billion, two hundred thirteen thousand, three hundred twenty-one".

Divisors: 1 3 9 27 101 303 909 2727 16001 48003 144009 279823 432027 839469 1616101 2518407 4848303 7555221 14544909 28262123 43634727 84786369 254359107 763077321 4477447823 13432343469 40297030407 120891091221 452222230123 1356666690369 4070000071107 12210000213321