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21121202120220 = 22325659178057681
BaseRepresentation
bin1001100110101101010011…
…01111111110011000011100
32202210011111220001120120100
410303112221233332120130
510232022210220321340
6112530540222421100
74306646035551666
oct463265157763034
982704456046510
1021121202120220
1168034a6a71834
12245151ba31790
13ba294a821177
145303b352d536
15269626dab830
hex1335a9bfe61c

21121202120220 has 72 divisors (see below), whose sum is σ = 64164866285520. Its totient is φ = 5623773765120.

The previous prime is 21121202120153. The next prime is 21121202120237. The reversal of 21121202120220 is 2202120212112.

It is a happy number.

21121202120220 is a `hidden beast` number, since 2 + 1 + 121 + 202 + 120 + 220 = 666.

It is a super-2 number, since 2×211212021202202 (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 = 21121202120193 and 21121202120202.

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, 88910221 + ... + 89147460.

It is an arithmetic number, because the mean of its divisors is an integer number (891178698410).

Almost surely, 221121202120220 is an apocalyptic number.

21121202120220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21121202120220 is an abundant number, since it is smaller than the sum of its proper divisors (43043664165300).

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

21121202120220 is a wasteful number, since it uses less digits than its factorization.

21121202120220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178058355 (or 178058350 counting only the distinct ones).

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

Adding to 21121202120220 its reverse (2202120212112), we get a palindrome (23323322332332).

The spelling of 21121202120220 in words is "twenty-one trillion, one hundred twenty-one billion, two hundred two million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 659 1318 1977 2636 3295 3954 5931 6590 7908 9885 11862 13180 19770 23724 29655 39540 59310 118620 178057681 356115362 534173043 712230724 890288405 1068346086 1602519129 1780576810 2136692172 2670865215 3205038258 3561153620 5341730430 6410076516 8012595645 10683460860 16025191290 32050382580 117340011779 234680023558 352020035337 469360047116 586700058895 704040070674 1056060106011 1173400117790 1408080141348 1760100176685 2112120212022 2346800235580 3520200353370 4224240424044 5280300530055 7040400706740 10560601060110 21121202120220