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20021212000 = 255319263437
BaseRepresentation
bin10010101001010110…
…110111001101100000
31220200022102221122101
4102221112313031200
5312000412241000
613110404020144
71306100331316
oct225126671540
956608387571
1020021212000
1185444a79a9
123a69091654
131b70bc390a
14d7d0480b6
157c2a5ae6a
hex4a95b7360

20021212000 has 96 divisors (see below), whose sum is σ = 51781373280. Its totient is φ = 7586956800.

The previous prime is 20021211989. The next prime is 20021212007. The reversal of 20021212000 is 21212002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20021212007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55719 + ... + 207718.

It is an arithmetic number, because the mean of its divisors is an integer number (539389305).

Almost surely, 220021212000 is an apocalyptic number.

20021212000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20021212000 is an abundant number, since it is smaller than the sum of its proper divisors (31760161280).

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

20021212000 is a wasteful number, since it uses less digits than its factorization.

20021212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263481 (or 263463 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 20021212000 its reverse (21212002), we get a palindrome (20042424002).

It can be divided in two parts, 200212 and 12000, that added together give a palindrome (212212).

The spelling of 20021212000 in words is "twenty billion, twenty-one million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 76 80 95 100 125 152 160 190 200 250 304 380 400 475 500 608 760 800 950 1000 1520 1900 2000 2375 3040 3800 4000 4750 7600 9500 15200 19000 38000 76000 263437 526874 1053748 1317185 2107496 2634370 4214992 5005303 5268740 6585925 8429984 10010606 10537480 13171850 20021212 21074960 25026515 26343700 32929625 40042424 42149920 50053030 52687400 65859250 80084848 100106060 105374800 125132575 131718500 160169696 200212120 210749600 250265150 263437000 400424240 500530300 526874000 625662875 800848480 1001060600 1053748000 1251325750 2002121200 2502651500 4004242400 5005303000 10010606000 20021212000