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21122220012120 = 23325105517556051
BaseRepresentation
bin1001100110101111001100…
…11010111011001001011000
32202210021010211101211202100
410303113212122323021120
510232031301310341440
6112531225223403400
74310013205521603
oct463274632731130
982707124354670
1021122220012120
1168039795a6007
1224517648b3560
13ba2a80684076
1453046c7b733a
15269686424230
hex1335e66bb258

21122220012120 has 96 divisors (see below), whose sum is σ = 68647989075120. Its totient is φ = 5632528492800.

The previous prime is 21122220012079. The next prime is 21122220012133. The reversal of 21122220012120 is 2121002222112.

It is a happy number.

21122220012120 is a `hidden beast` number, since 211 + 22 + 220 + 0 + 1 + 212 + 0 = 666.

It is a super-2 number, since 2×211222200121202 (a number of 27 digits) contains 22 as substring.

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 = 21122220012093 and 21122220012102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37708095 + ... + 38264145.

Almost surely, 221122220012120 is an apocalyptic number.

21122220012120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21122220012120 is an abundant number, since it is smaller than the sum of its proper divisors (47525769063000).

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

21122220012120 is a wasteful number, since it uses less digits than its factorization.

21122220012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661585 (or 661578 counting only the distinct ones).

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

Adding to 21122220012120 its reverse (2121002222112), we get a palindrome (23243222234232).

The spelling of 21122220012120 in words is "twenty-one trillion, one hundred twenty-two billion, two hundred twenty million, twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 105517 211034 316551 422068 527585 556051 633102 844136 949653 1055170 1112102 1266204 1582755 1668153 1899306 2110340 2224204 2532408 2780255 3165510 3336306 3798612 4220680 4448408 4748265 5004459 5560510 6331020 6672612 7597224 8340765 9496530 10008918 11121020 12662040 13345224 16681530 18993060 20017836 22242040 25022295 33363060 37986120 40035672 50044590 66726120 100089180 200178360 58672833367 117345666734 176018500101 234691333468 293364166835 352037000202 469382666936 528055500303 586728333670 704074000404 880092500505 1056111000606 1173456667340 1408148000808 1760185001010 2112222001212 2346913334680 2640277501515 3520370002020 4224444002424 5280555003030 7040740004040 10561110006060 21122220012120