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122330121330 = 23517257933319
BaseRepresentation
bin111000111101101110…
…0011000010001110010
3102200202101201001001110
41301323130120101302
54001013002340310
6132110411014150
711560311606024
oct1617334302162
9380671631043
10122330121330
114797518982a
121b86013a356
13b6c6b777a1
145cc69b6014
1532ae826d20
hex1c7b718472

122330121330 has 64 divisors (see below), whose sum is σ = 312072341760. Its totient is φ = 30582964224.

The previous prime is 122330121323. The next prime is 122330121337. The reversal of 122330121330 is 33121033221.

It is an interprime number because it is at equal distance from previous prime (122330121323) and next prime (122330121337).

It is a super-2 number, since 2×1223301213302 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122330121297 and 122330121306.

It is not an unprimeable number, because it can be changed into a prime (122330121337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 335590 + ... + 597729.

It is an arithmetic number, because the mean of its divisors is an integer number (4876130340).

Almost surely, 2122330121330 is an apocalyptic number.

122330121330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122330121330 is an abundant number, since it is smaller than the sum of its proper divisors (189742220430).

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

122330121330 is a wasteful number, since it uses less digits than its factorization.

122330121330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933603.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 122330121330 its reverse (33121033221), we get a palindrome (155451154551).

The spelling of 122330121330 in words is "one hundred twenty-two billion, three hundred thirty million, one hundred twenty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 257 510 514 771 1285 1542 2570 3855 4369 7710 8738 13107 21845 26214 43690 65535 131070 933319 1866638 2799957 4666595 5599914 9333190 13999785 15866423 27999570 31732846 47599269 79332115 95198538 158664230 237996345 239862983 475992690 479725966 719588949 1199314915 1439177898 2398629830 3597944745 4077670711 7195889490 8155341422 12233012133 20388353555 24466024266 40776707110 61165060665 122330121330