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12112221012000 = 253534992022749
BaseRepresentation
bin1011000001000001100010…
…1000011000000000100000
31120212220202111201011212020
42300100120220120000200
53041421312034341000
641432135535501440
72360036061614424
oct260203050300040
946786674634766
1012112221012000
11394a844aa611a
12143751a387880
1369b240097075
142dc33db4cb84
151600eeed5ba0
hexb0418a18020

12112221012000 has 192 divisors, whose sum is σ = 39759174000000. Its totient is φ = 3223451212800.

The previous prime is 12112221011983. The next prime is 12112221012019. The reversal of 12112221012000 is 21012221121.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4976626 + ... + 6999374.

It is an arithmetic number, because the mean of its divisors is an integer number (207079031250).

Almost surely, 212112221012000 is an apocalyptic number.

12112221012000 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 12112221012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19879587000000).

12112221012000 is an abundant number, since it is smaller than the sum of its proper divisors (27646952988000).

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

12112221012000 is a wasteful number, since it uses less digits than its factorization.

12112221012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2023276 (or 2023258 counting only the distinct ones).

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

Adding to 12112221012000 its reverse (21012221121), we get a palindrome (12133233233121).

It can be divided in two parts, 1211222 and 1012000, that added together give a palindrome (2223222).

The spelling of 12112221012000 in words is "twelve trillion, one hundred twelve billion, two hundred twenty-one million, twelve thousand".