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122414505330 = 2351316713611381
BaseRepresentation
bin111001000000001111…
…0010001110101110010
3102200222021111012010210
41302000132101311302
54001201103132310
6132123023404550
711562355061355
oct1620036216562
9380867435123
10122414505330
1147a08884777
121b884453756
13b70b4b1450
145cd3ca029c
1532b6e44820
hex1c80791d72

122414505330 has 128 divisors (see below), whose sum is σ = 318753501696. Its totient is φ = 29908684800.

The previous prime is 122414505307. The next prime is 122414505371. The reversal of 122414505330 is 33505414221.

122414505330 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1224145053302 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 88641240 + ... + 88642620.

It is an arithmetic number, because the mean of its divisors is an integer number (2490261732).

Almost surely, 2122414505330 is an apocalyptic number.

122414505330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122414505330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159376750848).

122414505330 is an abundant number, since it is smaller than the sum of its proper divisors (196338996366).

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

122414505330 is a wasteful number, since it uses less digits than its factorization.

122414505330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2932.

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 122414505330 its reverse (33505414221), we get a palindrome (155919919551).

The spelling of 122414505330 in words is "one hundred twenty-two billion, four hundred fourteen million, five hundred five thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 167 195 334 390 501 835 1002 1361 1381 1670 2171 2505 2722 2762 4083 4143 4342 5010 6513 6805 6905 8166 8286 10855 13026 13610 13810 17693 17953 20415 20715 21710 32565 35386 35906 40830 41430 53079 53859 65130 88465 89765 106158 107718 176930 179530 227287 230627 265395 269295 454574 461254 530790 538590 681861 691881 1136435 1153135 1363722 1383762 1879541 2272870 2306270 2954731 2998151 3409305 3459405 3759082 5638623 5909462 5996302 6818610 6918810 8864193 8994453 9397705 11277246 14773655 14990755 17728386 17988906 18795410 24434033 28193115 29547310 29981510 44320965 44972265 48868066 56386230 73302099 88641930 89944530 122170165 146604198 244340330 313883347 366510495 627766694 733020990 941650041 1569416735 1883300082 3138833470 4080483511 4708250205 8160967022 9416500410 12241450533 20402417555 24482901066 40804835110 61207252665 122414505330