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21212000120 = 2352989205463
BaseRepresentation
bin10011110000010101…
…010110111101111000
32000202022010020212002
4103300111112331320
5321420233000440
613424502440132
71350440011643
oct236025267570
960668106762
1021212000120
118aa5691713
12413ba33048
13200081117c
14105325aa5a
15842377115
hex4f0556f78

21212000120 has 64 divisors (see below), whose sum is σ = 49927752000. Its totient is φ = 8100133888.

The previous prime is 21212000119. The next prime is 21212000167. The reversal of 21212000120 is 2100021212.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 509 + ... + 205971.

It is an arithmetic number, because the mean of its divisors is an integer number (780121125).

Almost surely, 221212000120 is an apocalyptic number.

21212000120 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 21212000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24963876000).

21212000120 is an abundant number, since it is smaller than the sum of its proper divisors (28715751880).

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

21212000120 is a wasteful number, since it uses less digits than its factorization.

21212000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205592 (or 205588 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 21212000120 its reverse (2100021212), we get a palindrome (23312021332).

The spelling of 21212000120 in words is "twenty-one billion, two hundred twelve million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 29 40 58 89 116 145 178 232 290 356 445 580 712 890 1160 1780 2581 3560 5162 10324 12905 20648 25810 51620 103240 205463 410926 821852 1027315 1643704 2054630 4109260 5958427 8218520 11916854 18286207 23833708 29792135 36572414 47667416 59584270 73144828 91431035 119168540 146289656 182862070 238337080 365724140 530300003 731448280 1060600006 2121200012 2651500015 4242400024 5303000030 10606000060 21212000120