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12110032221000 = 233537972167367
BaseRepresentation
bin1011000000111001011000…
…1010110011001101001000
31120212201002222010002001220
42300032112022303031020
53041402321222033000
641431134430242040
72356630613321520
oct260162612631510
946781088102056
1012110032221000
11394992153203a
121437009356320
1369ac8178b66c
142dc1b318c680
15160022c801a0
hexb03962b3348

12110032221000 has 768 divisors, whose sum is σ = 44011526307840. Its totient is φ = 2715647385600.

The previous prime is 12110032220939. The next prime is 12110032221047. The reversal of 12110032221000 is 12223001121.

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 (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 32997362817 + ... + 32997363183.

It is an arithmetic number, because the mean of its divisors is an integer number (57306674880).

Almost surely, 212110032221000 is an apocalyptic number.

12110032221000 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 12110032221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22005763153920).

12110032221000 is an abundant number, since it is smaller than the sum of its proper divisors (31901494086840).

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

12110032221000 is a wasteful number, since it uses less digits than its factorization.

12110032221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12110032221000 its reverse (12223001121), we get a palindrome (12122255222121).

The spelling of 12110032221000 in words is "twelve trillion, one hundred ten billion, thirty-two million, two hundred twenty-one thousand".