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12112021020000 = 253541152335089
BaseRepresentation
bin1011000001000000110010…
…1101011101110101100000
31120212220020120101112102010
42300100030231131311200
53041420404340120000
641432104033152520
72360031112662366
oct260201455356540
946786216345363
1012112021020000
11394a752119180
1214374833bb740
1369b20a8135c5
142dc32136d636
151600dc67dd50
hexb040cb5dd60

12112021020000 has 480 divisors, whose sum is σ = 43425764807040. Its totient is φ = 2930549760000.

The previous prime is 12112021019993. The next prime is 12112021020007. The reversal of 12112021020000 is 2012021121.

It is an interprime number because it is at equal distance from previous prime (12112021019993) and next prime (12112021020007).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12112021020007) 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 79 ways as a sum of consecutive naturals, for example, 345162456 + ... + 345197544.

It is an arithmetic number, because the mean of its divisors is an integer number (90470343348).

Almost surely, 212112021020000 is an apocalyptic number.

12112021020000 is a gapful number since it is divisible by the number (10) 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 12112021020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21712882403520).

12112021020000 is an abundant number, since it is smaller than the sum of its proper divisors (31313743787040).

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

12112021020000 is a wasteful number, since it uses less digits than its factorization.

12112021020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35656 (or 35633 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12112021020000 its reverse (2012021121), we get a palindrome (12114033041121).

The spelling of 12112021020000 in words is "twelve trillion, one hundred twelve billion, twenty-one million, twenty thousand".