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2001212112020 = 22511311671757083
BaseRepresentation
bin11101000111110001100…
…010010111110010010100
321002022110220122112001212
4131013301202113302110
5230241440300041040
64131202200440552
7264403621200242
oct35076142276224
97068426575055
102001212112020
1170178907a560
12283a21a79158
13116937709814
146cc05853792
15370c960bd65
hex1d1f1897c94

2001212112020 has 96 divisors (see below), whose sum is σ = 4760826126336. Its totient is φ = 700021468800.

The previous prime is 2001212112017. The next prime is 2001212112041. The reversal of 2001212112020 is 202112121002.

It is a junction number, because it is equal to n+sod(n) for n = 2001212111986 and 2001212112004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 260399 + ... + 2017481.

It is an arithmetic number, because the mean of its divisors is an integer number (49591938816).

Almost surely, 22001212112020 is an apocalyptic number.

2001212112020 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 2001212112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2380413063168).

2001212112020 is an abundant number, since it is smaller than the sum of its proper divisors (2759614014316).

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

2001212112020 is a wasteful number, since it uses less digits than its factorization.

2001212112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1757301 (or 1757299 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2001212112020 its reverse (202112121002), we get a palindrome (2203324233022).

The spelling of 2001212112020 in words is "two trillion, one billion, two hundred twelve million, one hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 155 167 220 310 334 341 620 668 682 835 1364 1670 1705 1837 3340 3410 3674 5177 6820 7348 9185 10354 18370 20708 25885 36740 51770 56947 103540 113894 227788 284735 569470 1138940 1757083 3514166 7028332 8785415 17570830 19327913 35141660 38655826 54469573 77311652 96639565 108939146 193279130 217878292 272347865 293432861 386558260 544695730 586865722 599165303 1089391460 1173731444 1198330606 1467164305 2396661212 2934328610 2995826515 3227761471 5868657220 5991653030 6455522942 9096418691 11983306060 12911045884 16138807355 18192837382 32277614710 36385674764 45482093455 64555229420 90964186910 100060605601 181928373820 200121211202 400242422404 500303028005 1000606056010 2001212112020