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122300133332 = 22132617293221
BaseRepresentation
bin111000111100110100…
…1111110111111010100
3102200200022021111020212
41301321221332333110
54000432313231312
6132103420144552
711556465660326
oct1617151767724
9380608244225
10122300133332
114795a267363
121b852098158
13b6c08a8100
145cc2a0b616
1532abda1822
hex1c79a7efd4

122300133332 has 36 divisors (see below), whose sum is σ = 232131542076. Its totient is φ = 56354538240.

The previous prime is 122300133331. The next prime is 122300133341. The reversal of 122300133332 is 233331003221.

It can be written as a sum of positive squares in 6 ways, for example, as 29308070416 + 92992062916 = 171196^2 + 304946^2 .

It is a super-2 number, since 2×1223001333322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122300133298 and 122300133307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122300133331) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 270482 + ... + 563702.

It is an arithmetic number, because the mean of its divisors is an integer number (6448098391).

Almost surely, 2122300133332 is an apocalyptic number.

It is an amenable number.

122300133332 is a deficient number, since it is larger than the sum of its proper divisors (109831408744).

122300133332 is a wasteful number, since it uses less digits than its factorization.

122300133332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293868 (or 293853 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 122300133332 its reverse (233331003221), we get a palindrome (355631136553).

The spelling of 122300133332 in words is "one hundred twenty-two billion, three hundred million, one hundred thirty-three thousand, three hundred thirty-two".

Divisors: 1 2 4 13 26 52 169 338 617 676 1234 2468 8021 16042 32084 104273 208546 293221 417092 586442 1172884 3811873 7623746 15247492 49554349 99108698 180917357 198217396 361834714 723669428 2351925641 4703851282 9407702564 30575033333 61150066666 122300133332