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12200121011100 = 2235211374117314087
BaseRepresentation
bin1011000110001000111111…
…1000010000101110011100
31121012022122102001210022110
42301202033320100232130
53044341321434323400
641540354101514020
72366300241361401
oct261421770205634
947168572053273
1012200121011100
113984051288480
12145056ba12910
136a660aacac59
143026bbba02a8
15162546ce9e50
hexb188fe10b9c

12200121011100 has 576 divisors, whose sum is σ = 40750453804032. Its totient is φ = 2791056384000.

The previous prime is 12200121011093. The next prime is 12200121011119. The reversal of 12200121011100 is 111012100221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 866048257 + ... + 866062343.

It is an arithmetic number, because the mean of its divisors is an integer number (70747315632).

Almost surely, 212200121011100 is an apocalyptic number.

12200121011100 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 12200121011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20375226902016).

12200121011100 is an abundant number, since it is smaller than the sum of its proper divisors (28550332792932).

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

12200121011100 is a wasteful number, since it uses less digits than its factorization.

12200121011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14366 (or 14359 counting only the distinct ones).

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

Adding to 12200121011100 its reverse (111012100221), we get a palindrome (12311133111321).

The spelling of 12200121011100 in words is "twelve trillion, two hundred billion, one hundred twenty-one million, eleven thousand, one hundred".