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2001120112120 = 23567859869251
BaseRepresentation
bin11101000111101100000…
…011011010110111111000
321002022020111112102221011
4131013230003122313320
5230241243222041440
64131145112523304
7264401423205043
oct35075403326770
97068214472834
102001120112120
11701741152688
122839b70b0534
131169216374cc
146cbd7545c5a
15370c14d79ea
hex1d1ec0dadf8

2001120112120 has 64 divisors (see below), whose sum is σ = 4575047126400. Its totient is φ = 787582224000.

The previous prime is 2001120112031. The next prime is 2001120112129. The reversal of 2001120112120 is 212110211002.

It is a super-2 number, since 2×20011201121202 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2001120112120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001120112129) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1867495 + ... + 2736745.

It is an arithmetic number, because the mean of its divisors is an integer number (71485111350).

Almost surely, 22001120112120 is an apocalyptic number.

2001120112120 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 2001120112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2287523563200).

2001120112120 is an abundant number, since it is smaller than the sum of its proper divisors (2573927014280).

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

2001120112120 is a wasteful number, since it uses less digits than its factorization.

2001120112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870188 (or 870184 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2001120112120 its reverse (212110211002), we get a palindrome (2213230323122).

The spelling of 2001120112120 in words is "two trillion, one billion, one hundred twenty million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 67 134 268 335 536 670 859 1340 1718 2680 3436 4295 6872 8590 17180 34360 57553 115106 230212 287765 460424 575530 869251 1151060 1738502 2302120 3477004 4346255 6954008 8692510 17385020 34770040 58239817 116479634 232959268 291199085 465918536 582398170 746686609 1164796340 1493373218 2329592680 2986746436 3733433045 5973492872 7466866090 14933732180 29867464360 50028002803 100056005606 200112011212 250140014015 400224022424 500280028030 1000560056060 2001120112120