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122334241341040 = 24567174671306667
BaseRepresentation
bin11011110100001100101000…
…111111111011111001110000
3121001011001001121200021010221
4123310030220333323321300
5112013311011240403130
61112103324041502424
734524233354206321
oct3364145077737160
9531131047607127
10122334241341040
1135a85729a98653
1211879241aa1a14
1353350b97a6791
14222d01a4c4448
15e222dae6487a
hex6f4328ffbe70

122334241341040 has 80 divisors (see below), whose sum is σ = 288689039540352. Its totient is φ = 48200546287872.

The previous prime is 122334241341029. The next prime is 122334241341077. The reversal of 122334241341040 is 40143142433221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 122334241340987 and 122334241341005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92969787 + ... + 94276453.

Almost surely, 2122334241341040 is an apocalyptic number.

122334241341040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122334241341040 is an abundant number, since it is smaller than the sum of its proper divisors (166354798199312).

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

122334241341040 is a wasteful number, since it uses less digits than its factorization.

122334241341040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324214 (or 1324208 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 122334241341040 its reverse (40143142433221), we get a palindrome (162477383774261).

The spelling of 122334241341040 in words is "one hundred twenty-two trillion, three hundred thirty-four billion, two hundred forty-one million, three hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 335 536 670 1072 1340 2680 5360 17467 34934 69868 87335 139736 174670 279472 349340 698680 1170289 1306667 1397360 2340578 2613334 4681156 5226668 5851445 6533335 9362312 10453336 11702890 13066670 18724624 20906672 23405780 26133340 46811560 52266680 87546689 93623120 104533360 175093378 350186756 437733445 700373512 875466890 1400747024 1750933780 3501867560 7003735120 22823552489 45647104978 91294209956 114117762445 182588419912 228235524890 365176839824 456471049780 912942099560 1529178016763 1825884199120 3058356033526 6116712067052 7645890083815 12233424134104 15291780167630 24466848268208 30583560335260 61167120670520 122334241341040