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122110220020 = 22573122968053
BaseRepresentation
bin111000110111001010…
…1100001011011110100
3102200012001220220011111
41301232111201123310
54000040204020040
6132032513444404
711552001513235
oct1615625413364
9380161826144
10122110220020
1147872043708
121b7ba570704
13b690442c79
145ca56d308c
15329a38adea
hex1c6e5616f4

122110220020 has 48 divisors (see below), whose sum is σ = 260159553360. Its totient is φ = 48135085056.

The previous prime is 122110220017. The next prime is 122110220027. The reversal of 122110220020 is 20022011221.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2323625616 + 119786594404 = 48204^2 + 346102^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122110220027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1760314 + ... + 1828366.

It is an arithmetic number, because the mean of its divisors is an integer number (5419990695).

Almost surely, 2122110220020 is an apocalyptic number.

122110220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122110220020 is an abundant number, since it is smaller than the sum of its proper divisors (138049333340).

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

122110220020 is a wasteful number, since it uses less digits than its factorization.

122110220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69364 (or 69362 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 122110220020 its reverse (20022011221), we get a palindrome (142132231241).

The spelling of 122110220020 in words is "one hundred twenty-two billion, one hundred ten million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 73 146 292 365 730 1229 1460 2458 4916 6145 12290 24580 68053 89717 136106 179434 272212 340265 358868 448585 680530 897170 1361060 1794340 4967869 9935738 19871476 24839345 49678690 83637137 99357380 167274274 334548548 418185685 836371370 1672742740 6105511001 12211022002 24422044004 30527555005 61055110010 122110220020