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12021100022112 = 2531945723776067
BaseRepresentation
bin1010111011101110000101…
…1001011000100101100000
31120120012120010111021200220
42232323201121120211200
53033423203101201422
641322230032443040
72350332031153656
oct256734131304540
946505503437626
1012021100022112
113915135633805
12142192a0a9480
1369277ac5527c
142d7b7800add6
1515ca6a528e5c
hexaeee1658960

12021100022112 has 192 divisors, whose sum is σ = 33308374337280. Its totient is φ = 3785612599296.

The previous prime is 12021100022111. The next prime is 12021100022143. The reversal of 12021100022112 is 21122000112021.

It is a super-2 number, since 2×120211000221122 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12021100022091 and 12021100022100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12021100022111) 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, 1981388103 + ... + 1981394169.

It is an arithmetic number, because the mean of its divisors is an integer number (173481116340).

Almost surely, 212021100022112 is an apocalyptic number.

12021100022112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12021100022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16654187168640).

12021100022112 is an abundant number, since it is smaller than the sum of its proper divisors (21287274315168).

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

12021100022112 is a wasteful number, since it uses less digits than its factorization.

12021100022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8933 (or 8925 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12021100022112 its reverse (21122000112021), we get a palindrome (33143100134133).

The spelling of 12021100022112 in words is "twelve trillion, twenty-one billion, one hundred million, twenty-two thousand, one hundred twelve".