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21212112120 = 23351311349371
BaseRepresentation
bin10011110000010101…
…110010010011111000
32000202022022221111020
4103300111302103320
5321420300041440
613424505102440
71350440656323
oct236025622370
960668287436
1021212112120
118aa5758881
12413ba87a20
132000850144
1410532897ba
1584239a3d0
hex4f05724f8

21212112120 has 64 divisors (see below), whose sum is σ = 64122157440. Its totient is φ = 5613379200.

The previous prime is 21212112113. The next prime is 21212112121. The reversal of 21212112120 is 2121121212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21212112120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21212112121) 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, 658966 + ... + 690405.

It is an arithmetic number, because the mean of its divisors is an integer number (1001908710).

Almost surely, 221212112120 is an apocalyptic number.

21212112120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21212112120 is an abundant number, since it is smaller than the sum of its proper divisors (42910045320).

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

21212112120 is a wasteful number, since it uses less digits than its factorization.

21212112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349516 (or 1349512 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 21212112120 its reverse (2121121212), we get a palindrome (23333233332).

The spelling of 21212112120 in words is "twenty-one billion, two hundred twelve million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 131 262 393 524 655 786 1048 1310 1572 1965 2620 3144 3930 5240 7860 15720 1349371 2698742 4048113 5397484 6746855 8096226 10794968 13493710 16192452 20240565 26987420 32384904 40481130 53974840 80962260 161924520 176767601 353535202 530302803 707070404 883838005 1060605606 1414140808 1767676010 2121211212 2651514015 3535352020 4242422424 5303028030 7070704040 10606056060 21212112120