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122111110020012 = 22334729325434683
BaseRepresentation
bin11011110000111100110101…
…010101011111101110101100
3121000100201010012201201110220
4123300330311111133232230
5112001132023131120022
61111413023003131340
734502144066240511
oct3360746525375654
9530321105651426
10122111110020012
11359aa0381a3613
1211841b4b813b50
13531a04a1395c9
1422222d02cd308
15e1b5cbde085c
hex6f0f3555fbac

122111110020012 has 24 divisors (see below), whose sum is σ = 285747035560896. Its totient is φ = 40586401599888.

The previous prime is 122111110019999. The next prime is 122111110020047. The reversal of 122111110020012 is 210020011111221.

It is a happy number.

It is a super-2 number, since 2×1221111100200122 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122111110019973 and 122111110020000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14662713178 + ... + 14662721505.

It is an arithmetic number, because the mean of its divisors is an integer number (11906126481704).

Almost surely, 2122111110020012 is an apocalyptic number.

122111110020012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122111110020012 is an abundant number, since it is smaller than the sum of its proper divisors (163635925540884).

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

122111110020012 is a wasteful number, since it uses less digits than its factorization.

122111110020012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29325435037 (or 29325435035 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 122111110020012 its reverse (210020011111221), we get a palindrome (332131121131233).

The spelling of 122111110020012 in words is "one hundred twenty-two trillion, one hundred eleven billion, one hundred ten million, twenty thousand, twelve".

Divisors: 1 2 3 4 6 12 347 694 1041 1388 2082 4164 29325434683 58650869366 87976304049 117301738732 175952608098 351905216196 10175925835001 20351851670002 30527777505003 40703703340004 61055555010006 122111110020012