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12200111100000 = 25325589152311
BaseRepresentation
bin1011000110001000111101…
…0010011101000001100000
31121012022121201102020211200
42301202033102131001200
53044341311420200000
641540353105241200
72366300061212145
oct261421722350140
947168551366750
1012200111100000
11398404672908a
121450568633200
136a6608a3a9b5
143026ba7403cc
15162545edd500
hexb188f49d060

12200111100000 has 432 divisors, whose sum is σ = 43852339833120. Its totient is φ = 3216787200000.

The previous prime is 12200111099999. The next prime is 12200111100011. The reversal of 12200111100000 is 111100221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 80023845 + ... + 80176155.

It is an arithmetic number, because the mean of its divisors is an integer number (101510045910).

Almost surely, 212200111100000 is an apocalyptic number.

12200111100000 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 12200111100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21926169916560).

12200111100000 is an abundant number, since it is smaller than the sum of its proper divisors (31652228733120).

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

12200111100000 is an equidigital number, since it uses as much as digits as its factorization.

12200111100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152441 (or 152410 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12200111100000 its reverse (111100221), we get a palindrome (12200222200221).

The spelling of 12200111100000 in words is "twelve trillion, two hundred billion, one hundred eleven million, one hundred thousand".