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21201222222000 = 2432533757755171
BaseRepresentation
bin1001101001000010010110…
…10100011100000010110000
32210001211001121222221000200
410310201023110130002300
510234330100342101000
6113031412415115200
74315511023315242
oct464411324340260
983054047887020
1021201222222000
11683442a258657
122464b32512b00
13baa360b73812
14534204c1c092
1526b75beeb500
hex13484b51c0b0

21201222222000 has 480 divisors, whose sum is σ = 76183304593344. Its totient is φ = 5491224576000.

The previous prime is 21201222221911. The next prime is 21201222222001. The reversal of 21201222222000 is 22222210212.

21201222222000 is a `hidden beast` number, since 2 + 120 + 122 + 222 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (21201222222001) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 384254415 + ... + 384309585.

Almost surely, 221201222222000 is an apocalyptic number.

21201222222000 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 21201222222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38091652296672).

21201222222000 is an abundant number, since it is smaller than the sum of its proper divisors (54982082371344).

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

21201222222000 is a wasteful number, since it uses less digits than its factorization.

21201222222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55814 (or 55795 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 21201222222000 its reverse (22222210212), we get a palindrome (21223444432212).

The spelling of 21201222222000 in words is "twenty-one trillion, two hundred one billion, two hundred twenty-two million, two hundred twenty-two thousand".