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12111000022000 = 24531117179180907
BaseRepresentation
bin1011000000111100111111…
…0110101010101111110000
31120212210121102012110110101
42300033033312222233300
53041411312001201000
641431414441442144
72356663604435005
oct260171766525760
946783542173411
1012111000022000
11394a278863280
1214372394a0354
1369b0a7133989
142dc2659178ac
1516007cc00e6a
hexb03cfdaabf0

12111000022000 has 320 divisors, whose sum is σ = 34014987901440. Its totient is φ = 4121762304000.

The previous prime is 12111000021947. The next prime is 12111000022049. The reversal of 12111000022000 is 22000011121.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 66855547 + ... + 67036453.

It is an arithmetic number, because the mean of its divisors is an integer number (106296837192).

Almost surely, 212111000022000 is an apocalyptic number.

12111000022000 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 12111000022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17007493950720).

12111000022000 is an abundant number, since it is smaller than the sum of its proper divisors (21903987879440).

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

12111000022000 is a wasteful number, since it uses less digits than its factorization.

12111000022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181137 (or 181121 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12111000022000 its reverse (22000011121), we get a palindrome (12133000033121).

The spelling of 12111000022000 in words is "twelve trillion, one hundred eleven billion, twenty-two thousand".