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122230211240 = 235318910310753
BaseRepresentation
bin111000111010101111…
…1010000001010101000
3102200111102201002011202
41301311133100022220
54000311413224430
6132052441343332
711554656436664
oct1616537201250
9380442632152
10122230211240
1147923849905
121b832797b48
13b6ac265ba7
145cb76098a4
1532a5b8dd45
hex1c757d02a8

122230211240 has 128 divisors (see below), whose sum is σ = 289893427200. Its totient is φ = 46324776960.

The previous prime is 122230211239. The next prime is 122230211263. The reversal of 122230211240 is 42112032221.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 11361704 + ... + 11372456.

It is an arithmetic number, because the mean of its divisors is an integer number (2264792400).

Almost surely, 2122230211240 is an apocalyptic number.

122230211240 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 122230211240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144946713600).

122230211240 is an abundant number, since it is smaller than the sum of its proper divisors (167663215960).

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

122230211240 is a wasteful number, since it uses less digits than its factorization.

122230211240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10987 (or 10983 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 122230211240 its reverse (42112032221), we get a palindrome (164342243461).

The spelling of 122230211240 in words is "one hundred twenty-two billion, two hundred thirty million, two hundred eleven thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 89 103 124 155 178 206 248 310 356 412 445 515 620 712 824 890 1030 1240 1780 2060 2759 3193 3560 4120 5518 6386 9167 10753 11036 12772 13795 15965 18334 21506 22072 25544 27590 31930 36668 43012 45835 53765 55180 63860 73336 86024 91670 107530 110360 127720 183340 215060 284177 333343 366680 430120 568354 666686 957017 1107559 1136708 1333372 1420885 1666715 1914034 2215118 2273416 2666744 2841770 3333430 3828068 4430236 4785085 5537795 5683540 6666860 7656136 8860472 9570170 11075590 11367080 13333720 19140340 22151180 29667527 34334329 38280680 44302360 59335054 68668658 98572751 118670108 137337316 148337635 171671645 197145502 237340216 274674632 296675270 343343290 394291004 492863755 593350540 686686580 788582008 985727510 1186701080 1373373160 1971455020 3055755281 3942910040 6111510562 12223021124 15278776405 24446042248 30557552810 61115105620 122230211240