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12210010101000 = 2332533736666697
BaseRepresentation
bin1011000110101101110101…
…0100001001010100001000
31121020021011121010121101100
42301223131110021110020
53100022100041213000
641545111243221400
72400100301301315
oct261533524112410
947207147117340
1012210010101000
11398826642a048
12145246b817860
136a7525824a3a
14302d792d1d0c
1516292509aa00
hexb1add509508

12210010101000 has 192 divisors, whose sum is σ = 42385236220080. Its totient is φ = 3168002534400.

The previous prime is 12210010100999. The next prime is 12210010101031. The reversal of 12210010101000 is 10101001221.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2831459097636 + 9378551003364 = 1682694^2 + 3062442^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18000349 + ... + 18666348.

Almost surely, 212210010101000 is an apocalyptic number.

12210010101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12210010101000 is an abundant number, since it is smaller than the sum of its proper divisors (30175226119080).

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

12210010101000 is a wasteful number, since it uses less digits than its factorization.

12210010101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36666761 (or 36666744 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12210010101000 its reverse (10101001221), we get a palindrome (12220111102221).

The spelling of 12210010101000 in words is "twelve trillion, two hundred ten billion, ten million, one hundred one thousand".