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12021122112120 = 233251119159770363
BaseRepresentation
bin1010111011101110001010…
…1101101001101001111000
31120120012121200001120111100
42232323202231221221320
53033423224230041440
641322232142131400
72350332420006222
oct256734255515170
946505550046440
1012021122112120
113915147051310
121421935580b60
136927826baa94
142d7b7ad1b412
1515ca6c43e230
hexaeee2b69a78

12021122112120 has 192 divisors, whose sum is σ = 44863518211200. Its totient is φ = 2760831855360.

The previous prime is 12021122112113. The next prime is 12021122112161. The reversal of 12021122112120 is 2121122112021.

12021122112120 is a `hidden beast` number, since 1 + 20 + 211 + 221 + 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 = 12021122112093 and 12021122112102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79809942 + ... + 79960421.

It is an arithmetic number, because the mean of its divisors is an integer number (233664157350).

Almost surely, 212021122112120 is an apocalyptic number.

12021122112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12021122112120 is an abundant number, since it is smaller than the sum of its proper divisors (32842396099080).

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

12021122112120 is a wasteful number, since it uses less digits than its factorization.

12021122112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159770410 (or 159770403 counting only the distinct ones).

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

Adding to 12021122112120 its reverse (2121122112021), we get a palindrome (14142244224141).

Subtracting from 12021122112120 its reverse (2121122112021), we obtain a palindrome (9900000000099).

The spelling of 12021122112120 in words is "twelve trillion, twenty-one billion, one hundred twenty-two million, one hundred twelve thousand, one hundred twenty".