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122100110020122 = 23139730495292883
BaseRepresentation
bin11011110000110010100101…
…101011110100111000011010
3121000022122201121021211101120
4123300302211223310320122
5112000442011131120442
61111404003255030110
734501304356625133
oct3360624553647032
9530278647254346
10122100110020122
11359a5402a65913
121183b99b96b336
135318cb6212030
14222196941cc8a
15e1b1863514ec
hex6f0ca5af4e1a

122100110020122 has 64 divisors (see below), whose sum is σ = 265783228636800. Its totient is φ = 37169750790144.

The previous prime is 122100110020117. The next prime is 122100110020177. The reversal of 122100110020122 is 221020011001221.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20422293 + ... + 25715175.

It is an arithmetic number, because the mean of its divisors is an integer number (4152862947450).

Almost surely, 2122100110020122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122100110020122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132891614318400).

122100110020122 is an abundant number, since it is smaller than the sum of its proper divisors (143683118616678).

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

122100110020122 is a wasteful number, since it uses less digits than its factorization.

122100110020122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5296047.

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

Adding to 122100110020122 its reverse (221020011001221), we get a palindrome (343120121021343).

The spelling of 122100110020122 in words is "one hundred twenty-two trillion, one hundred billion, one hundred ten million, twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 13 26 39 78 97 194 291 582 1261 2522 3049 3783 6098 7566 9147 18294 39637 79274 118911 237822 295753 591506 887259 1774518 3844789 5292883 7689578 10585766 11534367 15878649 23068734 31757298 68807479 137614958 206422437 412844874 513409651 1026819302 1540228953 3080457906 6674325463 13348650926 16138000267 20022976389 32276000534 40045952778 48414000801 96828001602 209794003471 419588006942 629382010413 1258764020826 1565386025899 3130772051798 4696158077697 9392316155394 20350018336687 40700036673374 61050055010061 122100110020122