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21210222012120 = 23325173465722551
BaseRepresentation
bin1001101001010011000111…
…01111111010011011011000
32210002200021211200122010200
410310221203233322123120
510240002013313341440
6113035501431542200
74316250034263351
oct464514357723330
983080254618120
1021210222012120
116838228416129
12246682452a960
13bab16657c40b
1453481a1bad28
1526bad7185c30
hex134a63bfa6d8

21210222012120 has 96 divisors (see below), whose sum is σ = 72988116945120. Its totient is φ = 5323349836800.

The previous prime is 21210222012107. The next prime is 21210222012121. The reversal of 21210222012120 is 2121022201212.

It is a happy number.

21210222012120 is a `hidden beast` number, since 21 + 210 + 2 + 220 + 1 + 212 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21210222012093 and 21210222012102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21210222012121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1732855156 + ... + 1732867395.

It is an arithmetic number, because the mean of its divisors is an integer number (760292884845).

Almost surely, 221210222012120 is an apocalyptic number.

21210222012120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21210222012120 is an abundant number, since it is smaller than the sum of its proper divisors (51777894933000).

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

21210222012120 is a wasteful number, since it uses less digits than its factorization.

21210222012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3465722585 (or 3465722578 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21210222012120 its reverse (2121022201212), we get a palindrome (23331244213332).

The spelling of 21210222012120 in words is "twenty-one trillion, two hundred ten billion, two hundred twenty-two million, twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 6120 3465722551 6931445102 10397167653 13862890204 17328612755 20794335306 27725780408 31191502959 34657225510 41588670612 51985838265 58917283367 62383005918 69314451020 83177341224 103971676530 117834566734 124766011836 138628902040 155957514795 176751850101 207943353060 235669133468 249532023672 294586416835 311915029590 353503700202 415886706120 471338266936 530255550303 589172833670 623830059180 707007400404 883759250505 1060511100606 1178345667340 1247660118360 1414014800808 1767518501010 2121022201212 2356691334680 2651277751515 3535037002020 4242044402424 5302555503030 7070074004040 10605111006060 21210222012120