Search a number
-
+
122201012192 = 2572474993323
BaseRepresentation
bin111000111001110111…
…1110111011111100000
3102200102101202121121112
41301303233313133200
54000231424342232
6132045515442452
711554153315400
oct1616357673740
9380371677545
10122201012192
1147909316166
121b824a56428
13b6a61b164c
145cb37a8800
1532a33224b2
hex1c73bf77e0

122201012192 has 144 divisors (see below), whose sum is σ = 286475616000. Its totient is φ = 51139452672.

The previous prime is 122201012191. The next prime is 122201012221. The reversal of 122201012192 is 291210102221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122201012191) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36772643 + ... + 36775965.

It is an arithmetic number, because the mean of its divisors is an integer number (1989414000).

Almost surely, 2122201012192 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 122201012192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143237808000).

122201012192 is an abundant number, since it is smaller than the sum of its proper divisors (164274603808).

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

122201012192 is a wasteful number, since it uses less digits than its factorization.

122201012192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3893 (or 3878 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 122201012192 in words is "one hundred twenty-two billion, two hundred one million, twelve thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 47 49 56 94 98 112 188 196 224 329 376 392 499 658 752 784 998 1316 1504 1568 1996 2303 2632 3323 3493 3992 4606 5264 6646 6986 7984 9212 10528 13292 13972 15968 18424 23261 23453 24451 26584 27944 36848 46522 46906 48902 53168 55888 73696 93044 93812 97804 106336 111776 156181 162827 164171 186088 187624 195608 312362 325654 328342 372176 375248 391216 624724 651308 656684 744352 750496 782432 1093267 1149197 1249448 1302616 1313368 1658177 2186534 2298394 2498896 2605232 2626736 3316354 4373068 4596788 4997792 5210464 5253472 6632708 7652869 8746136 9193576 11607239 13265416 15305738 17492272 18387152 23214478 26530832 30611476 34984544 36774304 46428956 53061664 61222952 77934319 81250673 92857912 122445904 155868638 162501346 185715824 244891808 311737276 325002692 371431648 545540233 623474552 650005384 1091080466 1246949104 1300010768 2182160932 2493898208 2600021536 3818781631 4364321864 7637563262 8728643728 15275126524 17457287456 30550253048 61100506096 122201012192