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122201011020012 = 223191642313263509
BaseRepresentation
bin11011110010010000100011…
…110110100110000011101100
3121000200022011120022201010120
4123302100203312212003230
5112004120132310120022
61111522211445404540
734511505654155361
oct3362204366460354
9530608146281116
10122201011020012
1135a34180a46521
121185745b409750
1353256765a82b2
1422267bbdba468
15e1dade713d5c
hex6f2423da60ec

122201011020012 has 48 divisors (see below), whose sum is σ = 300144753619200. Its totient is φ = 38589546156480.

The previous prime is 122201011019953. The next prime is 122201011020029. The reversal of 122201011020012 is 210020110102221.

It is a junction number, because it is equal to n+sod(n) for n = 122201011019973 and 122201011020000.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 35812914 + ... + 39076422.

It is an arithmetic number, because the mean of its divisors is an integer number (6253015700400).

Almost surely, 2122201011020012 is an apocalyptic number.

122201011020012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122201011020012 is an abundant number, since it is smaller than the sum of its proper divisors (177943742599188).

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

122201011020012 is a wasteful number, since it uses less digits than its factorization.

122201011020012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3427766 (or 3427764 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 122201011020012 its reverse (210020110102221), we get a palindrome (332221121122233).

The spelling of 122201011020012 in words is "one hundred twenty-two trillion, two hundred one billion, eleven million, twenty thousand, twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 164231 328462 492693 656924 985386 1970772 3120389 3263509 6240778 6527018 9361167 9790527 12481556 13054036 18722334 19581054 37444668 39162108 62006671 124013342 186020013 248026684 372040026 744080052 535969346579 1071938693158 1607908039737 2143877386316 3215816079474 6431632158948 10183417585001 20366835170002 30550252755003 40733670340004 61100505510006 122201011020012