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122342202214232 = 237111331492822509
BaseRepresentation
bin11011110100010100000011…
…100000010000011101011000
3121001011210121102110112011012
4123310110003200100131120
5112013423312231323412
61112111122022553052
734524634551416210
oct3364240340203530
9531153542415135
10122342202214232
1135a890447714a0
121187a8a3b98788
135335a87b9a630
14222d5738c5240
15e22604cd1c22
hex6f4503810758

122342202214232 has 128 divisors (see below), whose sum is σ = 317929657651200. Its totient is φ = 42579864691200.

The previous prime is 122342202214213. The next prime is 122342202214259. The reversal of 122342202214232 is 232412202243221.

It is a super-2 number, since 2×1223422022142322 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 246163007 + ... + 246659502.

It is an arithmetic number, because the mean of its divisors is an integer number (2483825450400).

Almost surely, 2122342202214232 is an apocalyptic number.

It is an amenable number.

122342202214232 is an abundant number, since it is smaller than the sum of its proper divisors (195587455436968).

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

122342202214232 is a wasteful number, since it uses less digits than its factorization.

122342202214232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492822577 (or 492822573 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 122342202214232 its reverse (232412202243221), we get a palindrome (354754404457453).

The spelling of 122342202214232 in words is "one hundred twenty-two trillion, three hundred forty-two billion, two hundred two million, two hundred fourteen thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 31 44 52 56 62 77 88 91 104 124 143 154 182 217 248 286 308 341 364 403 434 572 616 682 728 806 868 1001 1144 1364 1612 1736 2002 2387 2728 2821 3224 4004 4433 4774 5642 8008 8866 9548 11284 17732 19096 22568 31031 35464 62062 124124 248248 492822509 985645018 1971290036 3449757563 3942580072 5421047599 6406692617 6899515126 10842095198 12813385234 13799030252 15277497779 21684190396 25626770468 27598060504 30554995558 37947333193 43368380792 44846848319 51253540936 61109991116 70473618787 75894666386 89693696638 106942484453 122219982232 140947237574 151789332772 168052475569 179387393276 198607471127 213884968906 281894475148 303578665544 336104951138 358774786552 397214942254 427769937812 493315331509 563788950296 672209902276 794429884508 855539875624 986630663018 1176367328983 1344419804552 1390252297889 1588859769016 1973261326036 2184682182397 2352734657966 2780504595778 3946522652072 4369364364794 4705469315932 5561009191556 8738728729588 9410938631864 11122018383112 15292775276779 17477457459176 30585550553558 61171101107116 122342202214232