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12102011233220 = 22529106391961231
BaseRepresentation
bin1011000000011011100000…
…0101001010001111000100
31120211221101222012200100102
42300012320011022033010
53041234404333430340
641423330500503232
72356225056126506
oct260067005121704
946757358180312
1012102011233220
11394648592a217
12143554b0aab18
1369a2a3aaa64c
142dba51bbdd76
1515ec039db215
hexb01b814a3c4

12102011233220 has 48 divisors (see below), whose sum is σ = 26293060684800. Its totient is φ = 4673438501760.

The previous prime is 12102011233127. The next prime is 12102011233259. The reversal of 12102011233220 is 2233211020121.

It is a super-3 number, since 3×121020112332203 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12102011233192 and 12102011233201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5190005 + ... + 7151235.

It is an arithmetic number, because the mean of its divisors is an integer number (547772097600).

Almost surely, 212102011233220 is an apocalyptic number.

12102011233220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12102011233220 is an abundant number, since it is smaller than the sum of its proper divisors (14191049451580).

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

12102011233220 is a wasteful number, since it uses less digits than its factorization.

12102011233220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1971908 (or 1971906 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 12102011233220 its reverse (2233211020121), we get a palindrome (14335222253341).

The spelling of 12102011233220 in words is "twelve trillion, one hundred two billion, eleven million, two hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 10639 21278 42556 53195 106390 212780 308531 617062 1234124 1542655 1961231 3085310 3922462 6170620 7844924 9806155 19612310 39224620 56875699 113751398 227502796 284378495 568756990 1137513980 20865536609 41731073218 83462146436 104327683045 208655366090 417310732180 605100561661 1210201123322 2420402246644 3025502808305 6051005616610 12102011233220