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20121121331100 = 22325253569741347
BaseRepresentation
bin1001001001100110100000…
…10010100001011110011100
32122020120010112121122020200
410210303100102201132130
510114131024030043400
6110443303204343500
74144463100242106
oct444632022413634
978216115548220
1020121121331100
116458357486879
12230b7369a4b90
13b2c54b8aa01a
144d7c20496576
1524d5e34d7b00
hex124cd04a179c

20121121331100 has 216 divisors, whose sum is σ = 64371528552240. Its totient is φ = 5255134909440.

The previous prime is 20121121331081. The next prime is 20121121331107. The reversal of 20121121331100 is 113312112102.

20121121331100 is a `hidden beast` number, since 2 + 0 + 1 + 211 + 21 + 331 + 100 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20121121331107) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 26770627 + ... + 27511973.

It is an arithmetic number, because the mean of its divisors is an integer number (298016335890).

Almost surely, 220121121331100 is an apocalyptic number.

20121121331100 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 20121121331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32185764276120).

20121121331100 is an abundant number, since it is smaller than the sum of its proper divisors (44250407221140).

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

20121121331100 is a wasteful number, since it uses less digits than its factorization.

20121121331100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741989 (or 741979 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 20121121331100 its reverse (113312112102), we get a palindrome (20234433443202).

The spelling of 20121121331100 in words is "twenty trillion, one hundred twenty-one billion, one hundred twenty-one million, three hundred thirty-one thousand, one hundred".