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12112012212000 = 253534127190841
BaseRepresentation
bin1011000001000000110000…
…1011110111011100100000
31120212220012221211001002220
42300100030023313130200
53041420400111241000
641432103120311040
72360030645056161
oct260201413673440
946786187731086
1012112012212000
11394a748152638
121437480472480
1369b208a4b47c
142dc320119768
151600db9de1a0
hexb040c2f7720

12112012212000 has 384 divisors, whose sum is σ = 40797168362496. Its totient is φ = 3139430400000.

The previous prime is 12112012211987. The next prime is 12112012212017. The reversal of 12112012212000 is 21221021121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 133286580 + ... + 133377420.

It is an arithmetic number, because the mean of its divisors is an integer number (106242625944).

Almost surely, 212112012212000 is an apocalyptic number.

12112012212000 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 12112012212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20398584181248).

12112012212000 is an abundant number, since it is smaller than the sum of its proper divisors (28685156150496).

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

12112012212000 is a wasteful number, since it uses less digits than its factorization.

12112012212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91181 (or 91163 counting only the distinct ones).

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

Adding to 12112012212000 its reverse (21221021121), we get a palindrome (12133233233121).

The spelling of 12112012212000 in words is "twelve trillion, one hundred twelve billion, twelve million, two hundred twelve thousand".