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122701040 = 24571119919
BaseRepresentation
bin1110101000001…
…00010011110000
322112212212011222
413110010103300
5222402413130
620101524212
73016640660
oct724042360
9275785158
10122701040
1163297120
1235113668
131c561487
14124201a0
15ab8ace5
hex75044f0

122701040 has 80 divisors (see below), whose sum is σ = 355691520. Its totient is φ = 38242560.

The previous prime is 122701039. The next prime is 122701043. The reversal of 122701040 is 40107221.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122701043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3800 + ... + 16119.

It is an arithmetic number, because the mean of its divisors is an integer number (4446144).

Almost surely, 2122701040 is an apocalyptic number.

122701040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122701040 is an abundant number, since it is smaller than the sum of its proper divisors (232990480).

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

122701040 is a wasteful number, since it uses less digits than its factorization.

122701040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19950 (or 19944 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 122701040 is about 11077.0501488438. The cubic root of 122701040 is about 496.9157337227.

Adding to 122701040 its reverse (40107221), we get a palindrome (162808261).

The spelling of 122701040 in words is "one hundred twenty-two million, seven hundred one thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 3080 6160 19919 39838 79676 99595 139433 159352 199190 219109 278866 318704 398380 438218 557732 697165 796760 876436 1095545 1115464 1394330 1533763 1593520 1752872 2191090 2230928 2788660 3067526 3505744 4382180 5577320 6135052 7668815 8764360 11154640 12270104 15337630 17528720 24540208 30675260 61350520 122701040