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2000212120020 = 2235240831384249
BaseRepresentation
bin11101000110110101111…
…011101101000111010100
321002012220012222122221010
4131012311323231013110
5230232413300320040
64130515035252220
7264340056331542
oct35066573550724
97065805878833
102000212120020
11701315661794
122837a2baa070
131168084a318a
146cb4cb08d92
153706b92ce80
hex1d1b5eed1d4

2000212120020 has 48 divisors (see below), whose sum is σ = 5600830536000. Its totient is φ = 533367365376.

The previous prime is 2000212120019. The next prime is 2000212120021. The reversal of 2000212120020 is 200212120002.

It is an interprime number because it is at equal distance from previous prime (2000212120019) and next prime (2000212120021).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2000212119978 and 2000212120005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000212120021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 752856 + ... + 2137104.

It is an arithmetic number, because the mean of its divisors is an integer number (116683969500).

Almost surely, 22000212120020 is an apocalyptic number.

2000212120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2000212120020 is an abundant number, since it is smaller than the sum of its proper divisors (3600618415980).

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

2000212120020 is a wasteful number, since it uses less digits than its factorization.

2000212120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1408344 (or 1408342 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2000212120020 its reverse (200212120002), we get a palindrome (2200424240022).

The spelling of 2000212120020 in words is "two trillion, two hundred twelve million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 24083 48166 72249 96332 120415 144498 240830 288996 361245 481660 722490 1384249 1444980 2768498 4152747 5536996 6921245 8305494 13842490 16610988 20763735 27684980 41527470 83054940 33336868667 66673737334 100010606001 133347474668 166684343335 200021212002 333368686670 400042424004 500053030005 666737373340 1000106060010 2000212120020