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121230101220 = 223513146133457
BaseRepresentation
bin111000011100111100…
…0001000101011100100
3102120220201211020010220
41300321320020223210
53441234401214340
6131405313444340
711521123600224
oct1607170105344
9376821736126
10121230101220
11474602603a8
121b5b38706b0
13b57ccba907
145c20870084
153247e89ed0
hex1c39e08ae4

121230101220 has 96 divisors (see below), whose sum is σ = 342787648896. Its totient is φ = 32010700800.

The previous prime is 121230101219. The next prime is 121230101221. The reversal of 121230101220 is 22101032121.

It is an interprime number because it is at equal distance from previous prime (121230101219) and next prime (121230101221).

It is a super-2 number, since 2×1212301012202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 121230101220.

It is not an unprimeable number, because it can be changed into a prime (121230101221) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3606732 + ... + 3640188.

It is an arithmetic number, because the mean of its divisors is an integer number (3570704676).

Almost surely, 2121230101220 is an apocalyptic number.

121230101220 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 121230101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171393824448).

121230101220 is an abundant number, since it is smaller than the sum of its proper divisors (221557547676).

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

121230101220 is a wasteful number, since it uses less digits than its factorization.

121230101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34061 (or 34059 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 121230101220 its reverse (22101032121), we get a palindrome (143331133341).

The spelling of 121230101220 in words is "one hundred twenty-one billion, two hundred thirty million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 131 262 393 461 524 655 786 922 1310 1383 1572 1844 1965 2305 2620 2766 3930 4610 5532 6915 7860 9220 13830 27660 33457 60391 66914 100371 120782 133828 167285 181173 200742 241564 301955 334570 362346 401484 501855 603910 669140 724692 905865 1003710 1207820 1811730 2007420 3623460 4382867 8765734 13148601 15423677 17531468 21914335 26297202 30847354 43828670 46271031 52594404 61694708 65743005 77118385 87657340 92542062 131486010 154236770 185084124 231355155 262972020 308473540 462710310 925420620 2020501687 4041003374 6061505061 8082006748 10102508435 12123010122 20205016870 24246020244 30307525305 40410033740 60615050610 121230101220