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120220111101012 = 22313317416542339
BaseRepresentation
bin11011010101011011101101…
…000001000101110001010100
3120202122221010020122111121220
4123111123231001011301110
5111224141241420213022
61103404205005410340
734215421265523546
oct3325335501056124
9522587106574556
10120220111101012
113534007664824a
1211597567b699b0
135210928153000
1421989820b7696
15dd730348e85c
hex6d56ed045c54

120220111101012 has 192 divisors, whose sum is σ = 329602042425600. Its totient is φ = 33965725347840.

The previous prime is 120220111100981. The next prime is 120220111101017. The reversal of 120220111101012 is 210101111022021.

It is a happy number.

It is a super-2 number, since 2×1202201111010122 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120220111100982 and 120220111101000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120220111101017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15104539 + ... + 21646877.

It is an arithmetic number, because the mean of its divisors is an integer number (1716677304300).

Almost surely, 2120220111101012 is an apocalyptic number.

120220111101012 is a gapful number since it is divisible by the number (12) 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 120220111101012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164801021212800).

120220111101012 is an abundant number, since it is smaller than the sum of its proper divisors (209381931324588).

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

120220111101012 is a wasteful number, since it uses less digits than its factorization.

120220111101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6542443 (or 6542415 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 120220111101012 its reverse (210101111022021), we get a palindrome (330321222123033).

The spelling of 120220111101012 in words is "one hundred twenty trillion, two hundred twenty billion, one hundred eleven million, one hundred one thousand, twelve".