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212121212000 = 255385761879
BaseRepresentation
bin1100010110001101101…
…0001101010001100000
3202021112002111001110012
43011203122031101200
511433411012241000
6241240325424052
721216363360335
oct3054332152140
9667462431405
10212121212000
1181a61992185
123513ab6b028
1317006613479
14a3a3c5298c
1557b7689735
hex316368d460

212121212000 has 96 divisors (see below), whose sum is σ = 521798397120. Its totient is φ = 84748108800.

The previous prime is 212121211987. The next prime is 212121212021. The reversal of 212121212000 is 212121212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3397061 + ... + 3458939.

It is an arithmetic number, because the mean of its divisors is an integer number (5435399970).

Almost surely, 2212121212000 is an apocalyptic number.

212121212000 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 212121212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260899198560).

212121212000 is an abundant number, since it is smaller than the sum of its proper divisors (309677185120).

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

212121212000 is an equidigital number, since it uses as much as digits as its factorization.

212121212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62761 (or 62743 counting only the distinct ones).

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

Adding to 212121212000 its reverse (212121212), we get a palindrome (212333333212).

212121212000 divided by its reverse (212121212) gives a cube (1000 = 103).

The spelling of 212121212000 in words is "two hundred twelve billion, one hundred twenty-one million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 857 1000 1714 2000 3428 4000 4285 6856 8570 13712 17140 21425 27424 34280 42850 61879 68560 85700 107125 123758 137120 171400 214250 247516 309395 342800 428500 495032 618790 685600 857000 990064 1237580 1546975 1714000 1980128 2475160 3093950 3428000 4950320 6187900 7734875 9900640 12375800 15469750 24751600 30939500 49503200 53030303 61879000 106060606 123758000 212121212 247516000 265151515 424242424 530303030 848484848 1060606060 1325757575 1696969696 2121212120 2651515150 4242424240 5303030300 6628787875 8484848480 10606060600 13257575750 21212121200 26515151500 42424242400 53030303000 106060606000 212121212000