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2012440440220 = 2257193500314887
BaseRepresentation
bin11101010010001110110…
…011000010110110011100
321010101110102201200201021
4131102032303002312130
5230432434223041340
64140300302453524
7265252102334050
oct35221663026634
97111412650637
102012440440220
11706520189741
122860362942a4
13117a06a294c2
146d58cb9bc60
153753524de4a
hex1d48ecc2d9c

2012440440220 has 96 divisors (see below), whose sum is σ = 4856178797568. Its totient is φ = 686221258752.

The previous prime is 2012440440193. The next prime is 2012440440221. The reversal of 2012440440220 is 220440442102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012440440221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135173617 + ... + 135188503.

It is an arithmetic number, because the mean of its divisors is an integer number (50585195808).

Almost surely, 22012440440220 is an apocalyptic number.

2012440440220 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 2012440440220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2428089398784).

2012440440220 is an abundant number, since it is smaller than the sum of its proper divisors (2843738357348).

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

2012440440220 is a wasteful number, since it uses less digits than its factorization.

2012440440220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20099 (or 20097 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 2012440440220 its reverse (220440442102), we get a palindrome (2232880882322).

The spelling of 2012440440220 in words is "two trillion, twelve billion, four hundred forty million, four hundred forty thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 193 386 772 965 1351 1930 2702 3860 5003 5404 6755 10006 13510 14887 20012 25015 27020 29774 35021 50030 59548 70042 74435 100060 104209 140084 148870 175105 208418 297740 350210 416836 521045 700420 965579 1042090 1931158 2084180 2873191 3862316 4827895 5746382 6759053 9655790 11492764 13518106 14365955 19311580 20112337 27036212 28731910 33795265 40224674 57463820 67590530 74479661 80449348 100561685 135181060 148959322 201123370 297918644 372398305 402246740 521357627 744796610 1042715254 1489593220 2085430508 2606788135 5213576270 10427152540 14374574573 28749149146 57498298292 71872872865 100622022011 143745745730 201244044022 287491491460 402488088044 503110110055 1006220220110 2012440440220