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12100221112120 = 235302505527803
BaseRepresentation
bin1011000000010100110101…
…1000011000111100111000
31120211202210012210002211221
42300011031120120330320
53041222223101041440
641422433112201424
72356132521265531
oct260051530307470
946752705702757
1012100221112120
113945747402799
12143512b699274
1369a079c68cab
142db922159688
1515eb4b784d4a
hexb014d618f38

12100221112120 has 16 divisors (see below), whose sum is σ = 27225497502360. Its totient is φ = 4840088444832.

The previous prime is 12100221111967. The next prime is 12100221112123. The reversal of 12100221112120 is 2121112200121.

It is a super-2 number, since 2×121002211121202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12100221112094 and 12100221112103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100221112123) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 151252763862 + ... + 151252763941.

Almost surely, 212100221112120 is an apocalyptic number.

12100221112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12100221112120 is an abundant number, since it is smaller than the sum of its proper divisors (15125276390240).

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

12100221112120 is a wasteful number, since it uses less digits than its factorization.

12100221112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302505527814 (or 302505527810 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12100221112120 its reverse (2121112200121), we get a palindrome (14221333312241).

The spelling of 12100221112120 in words is "twelve trillion, one hundred billion, two hundred twenty-one million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 302505527803 605011055606 1210022111212 1512527639015 2420044222424 3025055278030 6050110556060 12100221112120