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20122201110000 = 2435411151403817
BaseRepresentation
bin1001001001101000100001…
…01001100011010111110000
32122020122220210102002102210
410210310100221203113300
510114140231441010000
6110444002300012120
74144531621225413
oct444642051432760
978218823362383
1020122201110000
116458860a3a730
12230b998531040
13b2c6914caa52
144d7cc3a4db7a
1524d6581c7350
hex124d10a635f0

20122201110000 has 400 divisors, whose sum is σ = 71331807115008. Its totient is φ = 4845792000000.

The previous prime is 20122201109987. The next prime is 20122201110019. The reversal of 20122201110000 is 1110222102.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×201222011100002 (a number of 27 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 49628092 + ... + 50031908.

Almost surely, 220122201110000 is an apocalyptic number.

20122201110000 is a gapful number since it is divisible by the number (20) 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 20122201110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35665903557504).

20122201110000 is an abundant number, since it is smaller than the sum of its proper divisors (51209606005008).

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

20122201110000 is a wasteful number, since it uses less digits than its factorization.

20122201110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404010 (or 403989 counting only the distinct ones).

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

Adding to 20122201110000 its reverse (1110222102), we get a palindrome (20123311332102).

The spelling of 20122201110000 in words is "twenty trillion, one hundred twenty-two billion, two hundred one million, one hundred ten thousand".