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121021112022120 = 23325336169755617
BaseRepresentation
bin11011100001000101101100…
…011001000111010001101000
3120212111111122101012022020200
4123201011230121013101220
5111330302214134201440
61105220155323152200
734330325655154122
oct3341055431072150
9525444571168220
10121021112022120
11356198467a4872
12116a6851675660
13526b31b59cb9b
1421c564b34a212
15ded084595c30
hex6e116c647468

121021112022120 has 48 divisors (see below), whose sum is σ = 393318614073060. Its totient is φ = 32272296539136.

The previous prime is 121021112022043. The next prime is 121021112022163. The reversal of 121021112022120 is 21220211120121.

121021112022120 is a `hidden beast` number, since 1 + 210 + 211 + 1 + 2 + 0 + 221 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 100003160024964 + 21017951997156 = 10000158^2 + 4584534^2 .

It is a super-2 number, since 2×1210211120221202 (a number of 29 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 = 121021112022093 and 121021112022102.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 168084877449 + ... + 168084878168.

Almost surely, 2121021112022120 is an apocalyptic number.

121021112022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121021112022120 is an abundant number, since it is smaller than the sum of its proper divisors (272297502050940).

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

121021112022120 is a wasteful number, since it uses less digits than its factorization.

121021112022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336169755634 (or 336169755627 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 121021112022120 its reverse (21220211120121), we get a palindrome (142241323142241).

The spelling of 121021112022120 in words is "one hundred twenty-one trillion, twenty-one billion, one hundred twelve million, twenty-two 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 336169755617 672339511234 1008509266851 1344679022468 1680848778085 2017018533702 2689358044936 3025527800553 3361697556170 4034037067404 5042546334255 6051055601106 6723395112340 8068074134808 10085092668510 12102111202212 13446790224680 15127639002765 20170185337020 24204222404424 30255278005530 40340370674040 60510556011060 121021112022120