Search a number
-
+
122312343120 = 24351167691499
BaseRepresentation
bin111000111101001100…
…0100011111001010000
3102200201011020210221020
41301322120203321100
54000443424434440
6132104533555440
711560004522352
oct1617230437120
9380634223836
10122312343120
11479661467a0
121b8561a5b80
13b6c3291736
145cc44a90d2
1532aceb43d0
hex1c7a623e50

122312343120 has 160 divisors (see below), whose sum is σ = 419812416000. Its totient is φ = 29208875520.

The previous prime is 122312343089. The next prime is 122312343137. The reversal of 122312343120 is 21343213221.

It is a super-2 number, since 2×1223123431202 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168870 + ... + 522629.

It is an arithmetic number, because the mean of its divisors is an integer number (2623827600).

Almost surely, 2122312343120 is an apocalyptic number.

122312343120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122312343120 is an abundant number, since it is smaller than the sum of its proper divisors (297500072880).

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

122312343120 is a wasteful number, since it uses less digits than its factorization.

122312343120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691593 (or 691587 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 122312343120 its reverse (21343213221), we get a palindrome (143655556341).

The spelling of 122312343120 in words is "one hundred twenty-two billion, three hundred twelve million, three hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 67 80 88 110 120 132 134 165 176 201 220 240 264 268 330 335 402 440 528 536 660 670 737 804 880 1005 1072 1320 1340 1474 1608 2010 2211 2640 2680 2948 3216 3685 4020 4422 5360 5896 7370 8040 8844 11055 11792 14740 16080 17688 22110 29480 35376 44220 58960 88440 176880 691499 1382998 2074497 2765996 3457495 4148994 5531992 6914990 7606489 8297988 10372485 11063984 13829980 15212978 16595976 20744970 22819467 27659960 30425956 33191952 38032445 41489940 45638934 46330433 55319920 60851912 76064890 82979880 91277868 92660866 114097335 121703824 138991299 152129780 165959760 182555736 185321732 228194670 231652165 277982598 304259560 365111472 370643464 456389340 463304330 509634763 555965196 608519120 694956495 741286928 912778680 926608660 1019269526 1111930392 1389912990 1528904289 1825557360 1853217320 2038539052 2223860784 2548173815 2779825980 3057808578 3706434640 4077078104 5096347630 5559651960 6115617156 7644521445 8154156208 10192695260 11119303920 12231234312 15289042890 20385390520 24462468624 30578085780 40770781040 61156171560 122312343120