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2000121120 = 25335716521
BaseRepresentation
bin111011100110111…
…0110110100100000
312011101120200101000
41313031312310200
513044012333440
6530245312000
7100364514624
oct16715666440
95141520330
102000121120
1193701a668
12479a05600
1325b4ba52a
1414d8cb184
15ba8d8730
hex77376d20

2000121120 has 192 divisors, whose sum is σ = 7100110080. Its totient is φ = 525772800.

The previous prime is 2000121113. The next prime is 2000121121. The reversal of 2000121120 is 211210002.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2000121121) 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 31 ways as a sum of consecutive naturals, for example, 303460 + ... + 309980.

It is an arithmetic number, because the mean of its divisors is an integer number (36979740).

Almost surely, 22000121120 is an apocalyptic number.

2000121120 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 2000121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3550055040).

2000121120 is an abundant number, since it is smaller than the sum of its proper divisors (5099988960).

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

2000121120 is a wasteful number, since it uses less digits than its factorization.

2000121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6616 (or 6602 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2000121120 is about 44722.7136922616. The cubic root of 2000121120 is about 1259.9464829877.

Adding to 2000121120 its reverse (211210002), we get a palindrome (2211331122).

The spelling of 2000121120 in words is "two billion, one hundred twenty-one thousand, one hundred twenty".