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12122301211020 = 2232571113371818347
BaseRepresentation
bin1011000001100111000101…
…1101010010000110001100
31120220212210000101100100200
42300121301131102012030
53042102433102223040
641440524105253500
72360543632111650
oct260316135220614
946825700340320
1012122301211020
113954048007910
121439472194290
1369c188584380
142dca187caa60
151604dee36630
hexb067175218c

12122301211020 has 576 divisors, whose sum is σ = 50705201304576. Its totient is φ = 2262313359360.

The previous prime is 12122301211003. The next prime is 12122301211037. The reversal of 12122301211020 is 2011210322121.

12122301211020 is a `hidden beast` number, since 1 + 212 + 230 + 121 + 102 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12122301211003) and next prime (12122301211037).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12122301210984 and 12122301211002.

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 191 ways as a sum of consecutive naturals, for example, 5757487 + ... + 7575833.

It is an arithmetic number, because the mean of its divisors is an integer number (88029863376).

Almost surely, 212122301211020 is an apocalyptic number.

12122301211020 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 12122301211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25352600652288).

12122301211020 is an abundant number, since it is smaller than the sum of its proper divisors (38582900093556).

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

12122301211020 is a wasteful number, since it uses less digits than its factorization.

12122301211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1818430 (or 1818425 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12122301211020 its reverse (2011210322121), we get a palindrome (14133511533141).

It can be divided in two parts, 12122301 and 211020, that added together give a palindrome (12333321).

The spelling of 12122301211020 in words is "twelve trillion, one hundred twenty-two billion, three hundred one million, two hundred eleven thousand, twenty".