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2001120121120 = 25585314662369
BaseRepresentation
bin11101000111101100000…
…011011101000100100000
321002022020111112220021111
4131013230003131010200
5230241243222333440
64131145113033104
7264401423243221
oct35075403350440
97068214486244
102001120121120
1170174115941a
122839b70b5794
1311692163b633
146cbd7549248
15370c14da4ea
hex1d1ec0dd120

2001120121120 has 48 divisors (see below), whose sum is σ = 4733188984440. Its totient is φ = 799509602304.

The previous prime is 2001120121087. The next prime is 2001120121199. The reversal of 2001120121120 is 211210211002.

It can be written as a sum of positive squares in 4 ways, for example, as 836939544336 + 1164180576784 = 914844^2 + 1078972^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2001120121120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7194705 + ... + 7467664.

Almost surely, 22001120121120 is an apocalyptic number.

2001120121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001120121120 is an abundant number, since it is smaller than the sum of its proper divisors (2732068863320).

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

2001120121120 is a wasteful number, since it uses less digits than its factorization.

2001120121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14663237 (or 14663229 counting only the distinct ones).

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

Adding to 2001120121120 its reverse (211210211002), we get a palindrome (2212330332122).

The spelling of 2001120121120 in words is "two trillion, one billion, one hundred twenty million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 853 1706 3412 4265 6824 8530 13648 17060 27296 34120 68240 136480 14662369 29324738 58649476 73311845 117298952 146623690 234597904 293247380 469195808 586494760 1172989520 2345979040 12507000757 25014001514 50028003028 62535003785 100056006056 125070007570 200112012112 250140015140 400224024224 500280030280 1000560060560 2001120121120