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12210200221122 = 232827820247227
BaseRepresentation
bin1011000110101110100010…
…1001011001010111000010
31121020021122211212201011100
42301223220221121113002
53100022442224033442
641545142154155230
72400105100266351
oct261535051312702
947207584781140
1012210200221122
113988353784112
121452503422b16
136a7556030057
14302d96661998
15162936b0284c
hexb1ae8a595c2

12210200221122 has 24 divisors (see below), whose sum is σ = 26487423486576. Its totient is φ = 4065145252056.

The previous prime is 12210200221073. The next prime is 12210200221169. The reversal of 12210200221122 is 22112200201221.

It is a happy number.

12210200221122 is a `hidden beast` number, since 1 + 221 + 0 + 200 + 221 + 1 + 22 = 666.

It is a super-3 number, since 3×122102002211223 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12210200221095 and 12210200221104.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 410108728 + ... + 410138499.

It is an arithmetic number, because the mean of its divisors is an integer number (1103642645274).

Almost surely, 212210200221122 is an apocalyptic number.

12210200221122 is an abundant number, since it is smaller than the sum of its proper divisors (14277223265454).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12210200221122 is a wasteful number, since it uses less digits than its factorization.

12210200221122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820248062 (or 820248059 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12210200221122 its reverse (22112200201221), we get a palindrome (34322400422343).

The spelling of 12210200221122 in words is "twelve trillion, two hundred ten billion, two hundred million, two hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 827 1654 2481 4962 7443 14886 820247227 1640494454 2460741681 4921483362 7382225043 14764450086 678344456729 1356688913458 2035033370187 4070066740374 6105100110561 12210200221122