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122212102019 = 72231513372131
BaseRepresentation
bin111000111010001101…
…0001010111110000011
3102200110011122000222212
41301310122022332003
54000242244231034
6132050553252335
711554346504300
oct1616432127603
9380404560885
10122212102019
1147914600107
121b8287040ab
13b6a8595287
145cb50540a7
1532a42b32ce
hex1c7468af83

122212102019 has 48 divisors (see below), whose sum is σ = 149842008576. Its totient is φ = 99193248000.

The previous prime is 122212102003. The next prime is 122212102037. The reversal of 122212102019 is 910201212221.

It is not a de Polignac number, because 122212102019 - 24 = 122212102003 is a prime.

It is a super-2 number, since 2×1222121020192 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122212101985 and 122212102003.

It is not an unprimeable number, because it can be changed into a prime (122212102039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57348584 + ... + 57350714.

It is an arithmetic number, because the mean of its divisors is an integer number (3121708512).

Almost surely, 2122212102019 is an apocalyptic number.

122212102019 is a deficient number, since it is larger than the sum of its proper divisors (27629906557).

122212102019 is a wasteful number, since it uses less digits than its factorization.

122212102019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2656 (or 2649 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 122212102019 in words is "one hundred twenty-two billion, two hundred twelve million, one hundred two thousand, nineteen".

Divisors: 1 7 23 49 151 161 337 1057 1127 2131 2359 3473 7399 7751 14917 16513 24311 49013 50887 54257 104419 170177 321781 343091 356209 379799 718147 1170401 2252467 2401637 2493463 5027029 7400963 8192807 15767269 16517381 35189203 51806741 57349649 108440197 115621667 362647187 759081379 809351669 2494124531 5313569653 17458871717 122212102019