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2121121021320 = 2332573469242639
BaseRepresentation
bin11110110111011100101…
…010100011110110001000
321111202222120102020121200
4132313130222203312020
5234223023440140240
64302232440504200
7306150233125140
oct36673452436610
97452876366550
102121121021320
11748620578904
122a310717b060
13125036a7c662
147493ca47920
153a2965bc930
hex1eddcaa3d88

2121121021320 has 192 divisors, whose sum is σ = 7880753088000. Its totient is φ = 484685904384.

The previous prime is 2121121021297. The next prime is 2121121021333. The reversal of 2121121021320 is 231201211212.

2121121021320 is a `hidden beast` number, since 212 + 11 + 210 + 213 + 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 = 2121121021293 and 2121121021302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8620561 + ... + 8863199.

It is an arithmetic number, because the mean of its divisors is an integer number (41045589000).

Almost surely, 22121121021320 is an apocalyptic number.

2121121021320 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 2121121021320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3940376544000).

2121121021320 is an abundant number, since it is smaller than the sum of its proper divisors (5759632066680).

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

2121121021320 is a wasteful number, since it uses less digits than its factorization.

2121121021320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246132 (or 246125 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2121121021320 its reverse (231201211212), we get a palindrome (2352322232532).

The spelling of 2121121021320 in words is "two trillion, one hundred twenty-one billion, one hundred twenty-one million, twenty-one thousand, three hundred twenty".