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122209541220 = 223513216772169
BaseRepresentation
bin111000111010001000…
…0011001110001100100
3102200102222210221020110
41301310100121301210
54000241120304340
6132050422333020
711554315650354
oct1616420316144
9380388727213
10122209541220
1147913111148
121b82788a170
13b6a7ba9800
145cb4988b64
1532a3e59680
hex1c74419c64

122209541220 has 144 divisors (see below), whose sum is σ = 372757472640. Its totient is φ = 29901800448.

The previous prime is 122209541131. The next prime is 122209541227. The reversal of 122209541220 is 22145902221.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (122209541227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1657296 + ... + 1729464.

It is an arithmetic number, because the mean of its divisors is an integer number (2588593560).

Almost surely, 2122209541220 is an apocalyptic number.

122209541220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122209541220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186378736320).

122209541220 is an abundant number, since it is smaller than the sum of its proper divisors (250547931420).

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

122209541220 is a wasteful number, since it uses less digits than its factorization.

122209541220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72374 (or 72359 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 122209541220 in words is "one hundred twenty-two billion, two hundred nine million, five hundred forty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 167 169 195 260 334 338 390 501 507 668 676 780 835 845 1002 1014 1670 1690 2004 2028 2171 2505 2535 3340 3380 4342 5010 5070 6513 8684 10020 10140 10855 13026 21710 26052 28223 32565 43420 56446 65130 72169 84669 112892 130260 141115 144338 169338 216507 282230 288676 338676 360845 423345 433014 564460 721690 846690 866028 938197 1082535 1443380 1693380 1876394 2165070 2814591 3752788 4330140 4690985 5629182 9381970 11258364 12052223 12196561 14072955 18763940 24104446 24393122 28145910 36156669 36589683 48208892 48786244 56291820 60261115 60982805 72313338 73179366 120522230 121965610 144626676 146358732 156678899 180783345 182948415 241044460 243931220 313357798 361566690 365896830 470036697 626715596 723133380 731793660 783394495 940073394 1566788990 1880146788 2036825687 2350183485 3133577980 4073651374 4700366970 6110477061 8147302748 9400733940 10184128435 12220954122 20368256870 24441908244 30552385305 40736513740 61104770610 122209541220