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12211210110330 = 232571123463165469
BaseRepresentation
bin1011000110110010010011…
…0101110100010101111010
31121020101021020011101201100
42301230210311310111322
53100032024242012310
641545430311432230
72400142112225640
oct261544465642572
947211236141640
1012211210110330
1139888218418a0
121452745685676
136a768732052a
14303050825190
151629955d8ec0
hexb1b24d7457a

12211210110330 has 384 divisors, whose sum is σ = 41393826938880. Its totient is φ = 2421816122880.

The previous prime is 12211210110311. The next prime is 12211210110331. The reversal of 12211210110330 is 3301101211221.

12211210110330 is a `hidden beast` number, since 1 + 2 + 2 + 11 + 210 + 110 + 330 = 666.

It is a super-2 number, since 2×122112101103302 (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (12211210110331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 73714836 + ... + 73880304.

It is an arithmetic number, because the mean of its divisors is an integer number (107796424320).

Almost surely, 212211210110330 is an apocalyptic number.

12211210110330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12211210110330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20696913469440).

12211210110330 is an abundant number, since it is smaller than the sum of its proper divisors (29182616828550).

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

12211210110330 is a wasteful number, since it uses less digits than its factorization.

12211210110330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165986 (or 165983 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 12211210110330 its reverse (3301101211221), we get a palindrome (15512311321551).

The spelling of 12211210110330 in words is "twelve trillion, two hundred eleven billion, two hundred ten million, one hundred ten thousand, three hundred thirty".