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21321222321120 = 253583569940547
BaseRepresentation
bin1001101100100001110111…
…11000011111001111100000
32210111021210122100120111020
410312100323320133033200
510243311330403233440
6113202500113445440
74330256523322521
oct466207370371740
983437718316436
1021321222321120
116880309180197
122484242270880
13bb8776094027
14539d4a18c848
1526e931ec13d0
hex13643be1f3e0

21321222321120 has 192 divisors, whose sum is σ = 68090558618880. Its totient is φ = 5607279423488.

The previous prime is 21321222321103. The next prime is 21321222321167. The reversal of 21321222321120 is 2112322212312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22198687 + ... + 23139233.

It is an arithmetic number, because the mean of its divisors is an integer number (354638326140).

Almost surely, 221321222321120 is an apocalyptic number.

21321222321120 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 21321222321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34045279309440).

21321222321120 is an abundant number, since it is smaller than the sum of its proper divisors (46769336297760).

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

21321222321120 is a wasteful number, since it uses less digits than its factorization.

21321222321120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941217 (or 941209 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 21321222321120 its reverse (2112322212312), we get a palindrome (23433544533432).

The spelling of 21321222321120 in words is "twenty-one trillion, three hundred twenty-one billion, two hundred twenty-two million, three hundred twenty-one thousand, one hundred twenty".