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122073581604 = 223135997136733
BaseRepresentation
bin111000110110000100…
…1110000100000100100
3102200002111222110201010
41301230021300200210
54000001314102404
6132025124302220
711551045215552
oct1615411604044
9380074873633
10122073581604
1147853399727
121b7aa241970
13b685985530
145ca08b6bd2
153297050189
hex1c6c270824

122073581604 has 96 divisors (see below), whose sum is σ = 315166400640. Its totient is φ = 36543541248.

The previous prime is 122073581603. The next prime is 122073581611. The reversal of 122073581604 is 406185370221.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (122073581603) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 824422 + ... + 961154.

It is an arithmetic number, because the mean of its divisors is an integer number (3282983340).

Almost surely, 2122073581604 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122073581604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157583200320).

122073581604 is an abundant number, since it is smaller than the sum of its proper divisors (193092819036).

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

122073581604 is a wasteful number, since it uses less digits than its factorization.

122073581604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136909 (or 136907 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 122073581604 in words is "one hundred twenty-two billion, seventy-three million, five hundred eighty-one thousand, six hundred four".

Divisors: 1 2 3 4 6 12 13 26 39 52 59 78 97 118 156 177 194 236 291 354 388 582 708 767 1164 1261 1534 2301 2522 3068 3783 4602 5044 5723 7566 9204 11446 15132 17169 22892 34338 68676 74399 136733 148798 223197 273466 297596 410199 446394 546932 820398 892788 1640796 1777529 3555058 5332587 7110116 8067247 10665174 13263101 16134494 21330348 24201741 26526202 32268988 39789303 48403482 53052404 79578606 96806964 104874211 159157212 172420313 209748422 314622633 344840626 419496844 517260939 629245266 689681252 782522959 1034521878 1258490532 1565045918 2069043756 2347568877 3130091836 4695137754 9390275508 10172798467 20345596934 30518395401 40691193868 61036790802 122073581604