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12112232220000 = 2532541129712971
BaseRepresentation
bin1011000001000001100101…
…0011001000010101100000
31120212220210021210121100100
42300100121103020111200
53041421322422020000
641432141020022400
72360036256105003
oct260203123102540
946786707717310
1012112232220000
11394a850360930
121437522091a00
1369b2424bc713
142dc34142953a
15160100e9ba00
hexb04194c8560

12112232220000 has 1440 divisors, whose sum is σ = 49274104239360. Its totient is φ = 2794176000000.

The previous prime is 12112232219977. The next prime is 12112232220031. The reversal of 12112232220000 is 2223221121.

12112232220000 is a `hidden beast` number, since 1 + 21 + 122 + 322 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×121122322200002 (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4076818515 + ... + 4076821485.

It is an arithmetic number, because the mean of its divisors is an integer number (34218127944).

Almost surely, 212112232220000 is an apocalyptic number.

12112232220000 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 12112232220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24637052119680).

12112232220000 is an abundant number, since it is smaller than the sum of its proper divisors (37161872019360).

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

12112232220000 is a wasteful number, since it uses less digits than its factorization.

12112232220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3118 (or 3092 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12112232220000 its reverse (2223221121), we get a palindrome (12114455441121).

The spelling of 12112232220000 in words is "twelve trillion, one hundred twelve billion, two hundred thirty-two million, two hundred twenty thousand".