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1021212120123 = 321321514446413
BaseRepresentation
bin11101101110001001111…
…11000101010000111011
310121121221000202202221200
432313010333011100323
5113212420300320443
62101045515505243
7133531405540566
oct16670477052073
93547830682850
101021212120123
11364103689788
12145b01a58223
13753b8b1c500
14375d96d54dd
151b86db13dd3
hexedc4fc543b

1021212120123 has 36 divisors (see below), whose sum is σ = 1607858873712. Its totient is φ = 624276244800.

The previous prime is 1021212120109. The next prime is 1021212120143. The reversal of 1021212120123 is 3210212121201.

It is not a de Polignac number, because 1021212120123 - 24 = 1021212120107 is a prime.

It is a super-2 number, since 2×10212121201232 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1021212120096 and 1021212120105.

It is not an unprimeable number, because it can be changed into a prime (1021212120143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1993536 + ... + 2452877.

It is an arithmetic number, because the mean of its divisors is an integer number (44662746492).

Almost surely, 21021212120123 is an apocalyptic number.

1021212120123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1021212120123 is a deficient number, since it is larger than the sum of its proper divisors (586646753589).

1021212120123 is a wasteful number, since it uses less digits than its factorization.

1021212120123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4446596 (or 4446580 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1021212120123 its reverse (3210212121201), we get a palindrome (4231424241324).

The spelling of 1021212120123 in words is "one trillion, twenty-one billion, two hundred twelve million, one hundred twenty thousand, one hundred twenty-three".

Divisors: 1 3 9 13 39 117 151 169 453 507 1359 1521 1963 5889 17667 25519 76557 229671 4446413 13339239 40017717 57803369 173410107 520230321 671408363 751443797 2014225089 2254331391 6042675267 6762994173 8728308719 26184926157 78554778471 113468013347 340404040041 1021212120123