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11202121020000 = 25354238117479
BaseRepresentation
bin1010001100000011001001…
…1100011011001001100000
31110122220122002000100021010
42203000302130123021200
52432013420440120000
635454103334300520
72234220000412161
oct243006234331140
943586562010233
1011202121020000
11362987a3058a9
12130b0677b7740
13633480cb0841
142aa285215768
151465d5e48d50
hexa303271b260

11202121020000 has 240 divisors, whose sum is σ = 38342819370240. Its totient is φ = 2857352256000.

The previous prime is 11202121019989. The next prime is 11202121020037. The reversal of 11202121020000 is 2012120211.

It is a tau number, because it is divible by the number of its divisors (240).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2678740 + ... + 5438739.

It is an arithmetic number, because the mean of its divisors is an integer number (159761747376).

Almost surely, 211202121020000 is an apocalyptic number.

11202121020000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11202121020000 is an abundant number, since it is smaller than the sum of its proper divisors (27140698350240).

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

11202121020000 is an equidigital number, since it uses as much as digits as its factorization.

11202121020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8117535 (or 8117512 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11202121020000 its reverse (2012120211), we get a palindrome (11204133140211).

The spelling of 11202121020000 in words is "eleven trillion, two hundred two billion, one hundred twenty-one million, twenty thousand".