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122202221022 = 2337254784431
BaseRepresentation
bin111000111001111010…
…0011110100111011110
3102200102111001000211000
41301303310132213132
54000232232033042
6132050001411130
711554166511600
oct1616364364736
9380374030730
10122202221022
1147909a713a2
121b825339aa6
13b6a651592b
145cb3a01170
1532a34b074c
hex1c73d1e9de

122202221022 has 96 divisors (see below), whose sum is σ = 316478154240. Its totient is φ = 34850677680.

The previous prime is 122202221021. The next prime is 122202221077. The reversal of 122202221022 is 220122202221.

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 = 122202220986 and 122202221004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122202221021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1405147 + ... + 1489577.

It is an arithmetic number, because the mean of its divisors is an integer number (3296647440).

Almost surely, 2122202221022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122202221022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158239077120).

122202221022 is an abundant number, since it is smaller than the sum of its proper divisors (194275933218).

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

122202221022 is a wasteful number, since it uses less digits than its factorization.

122202221022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85003 (or 84990 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 122202221022 its reverse (220122202221), we get a palindrome (342324423243).

The spelling of 122202221022 in words is "one hundred twenty-two billion, two hundred two million, two hundred twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 378 441 547 882 1094 1323 1641 2646 3282 3829 4923 7658 9846 11487 14769 22974 26803 29538 34461 53606 68922 80409 84431 103383 160818 168862 206766 241227 253293 482454 506586 591017 723681 759879 1182034 1447362 1519758 1773051 2279637 3546102 4137119 4559274 5319153 8274238 10638306 12411357 15957459 24822714 31914918 37234071 46183757 74468142 92367514 111702213 138551271 223404426 277102542 323286299 415653813 646572598 831307626 969858897 1246961439 1939717794 2263004093 2493922878 2909576691 4526008186 5819153382 6789012279 8728730073 13578024558 17457460146 20367036837 40734073674 61101110511 122202221022