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20321200032120 = 23325135777525367
BaseRepresentation
bin1001001111011011001011…
…11010001100100101111000
32122221200120100222202020200
410213231211322030211320
510130420304202011440
6111115232545322200
74165105165162131
oct447554572144570
978850510882220
1020321200032120
116525199711239
122342474936360
13b453862c3240
145037a0bc2c88
15253903805c30
hex127b65e8c978

20321200032120 has 192 divisors, whose sum is σ = 71247475091520. Its totient is φ = 4993471660032.

The previous prime is 20321200031941. The next prime is 20321200032127. The reversal of 20321200032120 is 2123000212302.

20321200032120 is a `hidden beast` number, since 2 + 0 + 321 + 2 + 0 + 0 + 0 + 321 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 20321200032093 and 20321200032102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20321200032127) 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, 1062324 + ... + 6463043.

It is an arithmetic number, because the mean of its divisors is an integer number (371080599435).

Almost surely, 220321200032120 is an apocalyptic number.

20321200032120 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 20321200032120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35623737545760).

20321200032120 is an abundant number, since it is smaller than the sum of its proper divisors (50926275059400).

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

20321200032120 is a wasteful number, since it uses less digits than its factorization.

20321200032120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7525974 (or 7525967 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20321200032120 its reverse (2123000212302), we get a palindrome (22444200244422).

The spelling of 20321200032120 in words is "twenty trillion, three hundred twenty-one billion, two hundred million, thirty-two thousand, one hundred twenty".