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122021221985 = 51321229117497
BaseRepresentation
bin111000110100100001…
…0000001011001100001
3102122221212110022210222
41301221002001121201
53444344413100420
6132020014132425
711546541162605
oct1615102013141
9378855408728
10122021221985
1147826887113
121b7947b1115
13b677b82100
145c97967505
15329265b225
hex1c69081661

122021221985 has 24 divisors (see below), whose sum is σ = 158685748920. Its totient is φ = 90033894912.

The previous prime is 122021221969. The next prime is 122021222117. The reversal of 122021221985 is 589122120221.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 41751566224 + 80269655761 = 204332^2 + 283319^2 .

It is not a de Polignac number, because 122021221985 - 24 = 122021221969 is a prime.

It is a super-2 number, since 2×1220212219852 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 979757 + ... + 1097253.

It is an arithmetic number, because the mean of its divisors is an integer number (6611906205).

Almost surely, 2122021221985 is an apocalyptic number.

It is an amenable number.

122021221985 is a deficient number, since it is larger than the sum of its proper divisors (36664526935).

122021221985 is a wasteful number, since it uses less digits than its factorization.

122021221985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118757 (or 118744 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 35.

The spelling of 122021221985 in words is "one hundred twenty-two billion, twenty-one million, two hundred twenty-one thousand, nine hundred eighty-five".

Divisors: 1 5 13 65 169 845 1229 6145 15977 79885 117497 207701 587485 1038505 1527461 7637305 19856993 99284965 144403813 722019065 1877249569 9386247845 24404244397 122021221985