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122042320224 = 253111071080097
BaseRepresentation
bin111000110101001001…
…0100000010101100000
3102200000100011020011020
41301222102200111200
53444420313221344
6132022050245440
711550215414526
oct1615222402540
9380010136136
10122042320224
1147837787580
121b79b886880
13b67c35b386
145c9a69a316
153294427719
hex1c6a4a0560

122042320224 has 96 divisors (see below), whose sum is σ = 352751366016. Its totient is φ = 36636856320.

The previous prime is 122042320223. The next prime is 122042320241. The reversal of 122042320224 is 422023240221.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 122042320194 and 122042320203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122042320223) 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, 427057 + ... + 653040.

It is an arithmetic number, because the mean of its divisors is an integer number (3674493396).

Almost surely, 2122042320224 is an apocalyptic number.

It is an amenable number.

122042320224 is an abundant number, since it is smaller than the sum of its proper divisors (230709045792).

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

122042320224 is a wasteful number, since it uses less digits than its factorization.

122042320224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080228 (or 1080220 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 122042320224 its reverse (422023240221), we get a palindrome (544065560445).

The spelling of 122042320224 in words is "one hundred twenty-two billion, forty-two million, three hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 107 132 176 214 264 321 352 428 528 642 856 1056 1177 1284 1712 2354 2568 3424 3531 4708 5136 7062 9416 10272 14124 18832 28248 37664 56496 112992 1080097 2160194 3240291 4320388 6480582 8640776 11881067 12961164 17281552 23762134 25922328 34563104 35643201 47524268 51844656 71286402 95048536 103689312 115570379 142572804 190097072 231140758 285145608 346711137 380194144 462281516 570291216 693422274 924563032 1140582432 1271274169 1386844548 1849126064 2542548338 2773689096 3698252128 3813822507 5085096676 5547378192 7627645014 10170193352 11094756384 15255290028 20340386704 30510580056 40680773408 61021160112 122042320224