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12112112211000 = 2335341271363367
BaseRepresentation
bin1011000001000001001000…
…1001010101010000111000
31120212220110220222111221120
42300100102021111100320
53041421101211223000
641432121051505240
72360033301045354
oct260202211252070
946786426874846
1012112112211000
11394a79964333a
1214374a9a58220
1369b223691689
142dc32d50a464
151600e56936a0
hexb0412255438

12112112211000 has 256 divisors, whose sum is σ = 38854446059520. Its totient is φ = 3139482240000.

The previous prime is 12112112210983. The next prime is 12112112211013. The reversal of 12112112211000 is 11221121121.

It is a happy number.

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

It is a congruent number.

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, 33151317 + ... + 33514683.

It is an arithmetic number, because the mean of its divisors is an integer number (151775179920).

Almost surely, 212112112211000 is an apocalyptic number.

12112112211000 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 12112112211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19427223029760).

12112112211000 is an abundant number, since it is smaller than the sum of its proper divisors (26742333848520).

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

12112112211000 is a wasteful number, since it uses less digits than its factorization.

12112112211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363703 (or 363689 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12112112211000 its reverse (11221121121), we get a palindrome (12123333332121).

The spelling of 12112112211000 in words is "twelve trillion, one hundred twelve billion, one hundred twelve million, two hundred eleven thousand".