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122301213330 = 23531225116901
BaseRepresentation
bin111000111100110111…
…0000110101010010010
3102200200101022100201210
41301321232012222102
54000433102311310
6132103455240550
711556511106112
oct1617156065222
9380611270653
10122301213330
114795a93481a
121b852519156
13b6c0b9586a
145cc2c0d042
1532ac016820
hex1c79b86a92

122301213330 has 96 divisors (see below), whose sum is σ = 304523198784. Its totient is φ = 31434000000.

The previous prime is 122301213313. The next prime is 122301213383. The reversal of 122301213330 is 33312103221.

It is a junction number, because it is equal to n+sod(n) for n = 122301213297 and 122301213306.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 7227880 + ... + 7244780.

It is an arithmetic number, because the mean of its divisors is an integer number (3172116654).

Almost surely, 2122301213330 is an apocalyptic number.

122301213330 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 122301213330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152261599392).

122301213330 is an abundant number, since it is smaller than the sum of its proper divisors (182221985454).

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

122301213330 is a wasteful number, since it uses less digits than its factorization.

122301213330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17224 (or 17193 counting only the distinct ones).

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

Adding to 122301213330 its reverse (33312103221), we get a palindrome (155613316551).

The spelling of 122301213330 in words is "one hundred twenty-two billion, three hundred one million, two hundred thirteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 251 310 465 502 753 930 961 1255 1506 1922 2510 2883 3765 4805 5766 7530 7781 9610 14415 15562 16901 23343 28830 33802 38905 46686 50703 77810 84505 101406 116715 169010 233430 241211 253515 482422 507030 523931 723633 1047862 1206055 1447266 1571793 2412110 2619655 3143586 3618165 4242151 5239310 7236330 7858965 8484302 12726453 15717930 16241861 21210755 25452906 32483722 42421510 48725583 63632265 81209305 97451166 127264530 131506681 162418610 243627915 263013362 394520043 487255830 657533405 789040086 1315066810 1972600215 3945200430 4076707111 8153414222 12230121333 20383535555 24460242666 40767071110 61150606665 122301213330