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12112012211220 = 2233567753744417
BaseRepresentation
bin1011000001000000110000…
…1011110111010000010100
31120212220012221211000001000
42300100030023313100110
53041420400111224340
641432103120303300
72360030645053665
oct260201413672024
946786187730030
1012112012211220
11394a748151a99
121437480471b30
1369b208a4accc
142dc32011936c
151600db9ddd30
hexb040c2f7414

12112012211220 has 192 divisors, whose sum is σ = 38250166268160. Its totient is φ = 3181169147904.

The previous prime is 12112012211219. The next prime is 12112012211263. The reversal of 12112012211220 is 2211221021121.

12112012211220 is a `hidden beast` number, since 1 + 21 + 1 + 201 + 221 + 1 + 220 = 666.

It is a super-3 number, since 3×121120122112203 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12112012211193 and 12112012211202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 272666452 + ... + 272710868.

It is an arithmetic number, because the mean of its divisors is an integer number (199219615980).

Almost surely, 212112012211220 is an apocalyptic number.

12112012211220 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 12112012211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19125083134080).

12112012211220 is an abundant number, since it is smaller than the sum of its proper divisors (26138154056940).

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

12112012211220 is a wasteful number, since it uses less digits than its factorization.

12112012211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52039 (or 52031 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12112012211220 its reverse (2211221021121), we get a palindrome (14323233232341).

The spelling of 12112012211220 in words is "twelve trillion, one hundred twelve billion, twelve million, two hundred eleven thousand, two hundred twenty".