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12001100221110 = 235711131737635353
BaseRepresentation
bin1010111010100011100101…
…0100001100101010110110
31120111021221022100010102110
42232220321110030222312
53033111223124033420
641305121311351450
72346023310516150
oct256507124145266
946437838303373
1012001100221110
113907702230250
121419a88222586
1369091161a0b0
142d6bdbb77ad0
1515c2997ebee0
hexaea3950cab6

12001100221110 has 512 divisors, whose sum is σ = 42053644136448. Its totient is φ = 2107945451520.

The previous prime is 12001100221063. The next prime is 12001100221139. The reversal of 12001100221110 is 1112200110021.

12001100221110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 18571194 + ... + 19206546.

It is an arithmetic number, because the mean of its divisors is an integer number (82136023704).

Almost surely, 212001100221110 is an apocalyptic number.

12001100221110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12001100221110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21026822068224).

12001100221110 is an abundant number, since it is smaller than the sum of its proper divisors (30052543915338).

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

12001100221110 is a wasteful number, since it uses less digits than its factorization.

12001100221110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635448.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12001100221110 its reverse (1112200110021), we get a palindrome (13113300331131).

The spelling of 12001100221110 in words is "twelve trillion, one billion, one hundred million, two hundred twenty-one thousand, one hundred ten".