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122148112240 = 24571124182279
BaseRepresentation
bin111000111000010011…
…0000100011101110000
3102200021201020000112001
41301300212010131300
54000124404042430
6132040345543344
711552641552210
oct1616046043560
9380251200461
10122148112240
11478914746a0
121b80b1a4b54
13b69824c2bb
145caa758240
15329d8733ca
hex1c70984770

122148112240 has 160 divisors (see below), whose sum is σ = 355544386560. Its totient is φ = 37913702400.

The previous prime is 122148112159. The next prime is 122148112253. The reversal of 122148112240 is 42211841221.

It is a super-2 number, since 2×1221481122402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 122148112199 and 122148112208.

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, 1443421 + ... + 1525699.

It is an arithmetic number, because the mean of its divisors is an integer number (2222152416).

Almost surely, 2122148112240 is an apocalyptic number.

122148112240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122148112240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177772193280).

122148112240 is an abundant number, since it is smaller than the sum of its proper divisors (233396274320).

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

122148112240 is a wasteful number, since it uses less digits than its factorization.

122148112240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82551 (or 82545 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

Adding to 122148112240 its reverse (42211841221), we get a palindrome (164359953461).

The spelling of 122148112240 in words is "one hundred twenty-two billion, one hundred forty-eight million, one hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 241 280 308 385 440 482 560 616 770 880 964 1205 1232 1540 1687 1928 2410 2651 3080 3374 3856 4820 5302 6160 6748 8435 9640 10604 13255 13496 16870 18557 19280 21208 26510 26992 33740 37114 42416 53020 67480 74228 82279 92785 106040 134960 148456 164558 185570 212080 296912 329116 371140 411395 575953 658232 742280 822790 905069 1151906 1316464 1484560 1645580 1810138 2303812 2879765 3291160 3620276 4525345 4607624 5759530 6335483 6582320 7240552 9050690 9215248 11519060 12670966 14481104 18101380 19829239 23038120 25341932 31677415 36202760 39658478 46076240 50683864 63354830 72405520 79316956 99146195 101367728 126709660 138804673 158633912 198292390 218121629 253419320 277609346 317267824 396584780 436243258 506838640 555218692 694023365 793169560 872486516 1090608145 1110437384 1388046730 1526851403 1586339120 1744973032 2181216290 2220874768 2776093460 3053702806 3489946064 4362432580 5552186920 6107405612 7634257015 8724865160 11104373840 12214811224 15268514030 17449730320 24429622448 30537028060 61074056120 122148112240