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122131003122 = 2342397133757
BaseRepresentation
bin111000110111110010…
…0110011011011110010
3102200020112000210020000
41301233210303123302
54000111014044442
6132034535130430
711552343253332
oct1615744633362
9380215023200
10122131003122
1147882849327
121b805513a16
13b69483b96b
145ca83830c2
15329c0e3d4c
hex1c6f9336f2

122131003122 has 80 divisors (see below), whose sum is σ = 285864904512. Its totient is φ = 38899064160.

The previous prime is 122131003121. The next prime is 122131003123. The reversal of 122131003122 is 221300131221.

It is an interprime number because it is at equal distance from previous prime (122131003121) and next prime (122131003123).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122131003095 and 122131003104.

It is not an unprimeable number, because it can be changed into a prime (122131003121) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3601068 + ... + 3634824.

Almost surely, 2122131003122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122131003122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142932452256).

122131003122 is an abundant number, since it is smaller than the sum of its proper divisors (163733901390).

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

122131003122 is a wasteful number, since it uses less digits than its factorization.

122131003122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34765 (or 34756 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 122131003122 its reverse (221300131221), we get a palindrome (343431134343).

The spelling of 122131003122 in words is "one hundred twenty-two billion, one hundred thirty-one million, three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 138 162 207 414 621 971 1242 1863 1942 2913 3726 5826 8739 17478 22333 26217 33757 44666 52434 66999 67514 78651 101271 133998 157302 200997 202542 303813 401994 602991 607626 776411 911439 1205982 1552822 1808973 1822878 2329233 2734317 3617946 4658466 5468634 6987699 13975398 20963097 32778047 41926194 62889291 65556094 98334141 125778582 196668282 295002423 590004846 753895081 885007269 1507790162 1770014538 2261685243 2655021807 4523370486 5310043614 6785055729 13570111458 20355167187 40710334374 61065501561 122131003122