Search a number
-
+
122120011904 = 2711175396263
BaseRepresentation
bin111000110111011101…
…0111000000010000000
3102200012202100101002212
41301232322320002000
54000100210340104
6132033503401252
711552150655062
oct1615672700200
9380182311085
10122120011904
1147877621480
121b8018b3228
13b692490b97
145ca6b21732
15329b17236e
hex1c6eeb8080

122120011904 has 128 divisors (see below), whose sum is σ = 286319940480. Its totient is φ = 51257589760.

The previous prime is 122120011903. The next prime is 122120012029. The reversal of 122120011904 is 409110021221.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 122120011904.

It is not an unprimeable number, because it can be changed into a prime (122120011903) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1220477 + ... + 1316739.

It is an arithmetic number, because the mean of its divisors is an integer number (2236874535).

Almost surely, 2122120011904 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 122120011904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143159970240).

122120011904 is an abundant number, since it is smaller than the sum of its proper divisors (164199928576).

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

122120011904 is a wasteful number, since it uses less digits than its factorization.

122120011904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96358 (or 96346 counting only the distinct ones).

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

The spelling of 122120011904 in words is "one hundred twenty-two billion, one hundred twenty million, eleven thousand, nine hundred four".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 53 64 68 88 106 128 136 176 187 212 272 352 374 424 544 583 704 748 848 901 1088 1166 1408 1496 1696 1802 2176 2332 2992 3392 3604 4664 5984 6784 7208 9328 9911 11968 14416 18656 19822 23936 28832 37312 39644 57664 74624 79288 96263 115328 158576 192526 317152 385052 634304 770104 1058893 1268608 1540208 1636471 2117786 3080416 3272942 4235572 5101939 6160832 6545884 8471144 10203878 12321664 13091768 16942288 18001181 20407756 26183536 33884576 36002362 40815512 52367072 56121329 67769152 72004724 81631024 86732963 104734144 112242658 135538304 144009448 163262048 173465926 209468288 224485316 288018896 326524096 346931852 448970632 576037792 653048192 693863704 897941264 954062593 1152075584 1387727408 1795882528 1908125186 2304151168 2775454816 3591765056 3816250372 5550909632 7183530112 7632500744 11101819264 15265001488 30530002976 61060005952 122120011904