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12200020142200 = 23521161181502261
BaseRepresentation
bin1011000110001000100111…
…0111011110100001111000
31121012022101101021010012021
42301202021313132201320
53044341120124022300
641540340055524224
72366264605120102
oct261421167364170
947168341233167
1012200020142200
113983aaa353150
121450542089674
136a65c2c41b07
143026ac624572
1516253d022d1a
hexb1889dde878

12200020142200 has 192 divisors, whose sum is σ = 31624786196640. Its totient is φ = 4339526400000.

The previous prime is 12200020142183. The next prime is 12200020142207. The reversal of 12200020142200 is 224102000221.

12200020142200 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 not an unprimeable number, because it can be changed into a prime (12200020142207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24039070 + ... + 24541330.

Almost surely, 212200020142200 is an apocalyptic number.

12200020142200 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 12200020142200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15812393098320).

12200020142200 is an abundant number, since it is smaller than the sum of its proper divisors (19424766054440).

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

12200020142200 is a wasteful number, since it uses less digits than its factorization.

12200020142200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502530 (or 502521 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 12200020142200 its reverse (224102000221), we get a palindrome (12424122142421).

The spelling of 12200020142200 in words is "twelve trillion, two hundred billion, twenty million, one hundred forty-two thousand, two hundred".