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1201110120 = 233557127139
BaseRepresentation
bin100011110010111…
…0111110001101000
310002201002201100000
41013211313301220
54424441010440
6315103543000
741523160530
oct10745676150
93081081300
101201110120
11566aa48a1
122962baa60
13161ac2862
14b573c4c0
15706a9730
hex47977c68

1201110120 has 384 divisors, whose sum is σ = 4696473600. Its totient is φ = 270418176.

The previous prime is 1201110103. The next prime is 1201110121. The reversal of 1201110120 is 210111021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (1201110121) 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 95 ways as a sum of consecutive naturals, for example, 8641011 + ... + 8641149.

It is an arithmetic number, because the mean of its divisors is an integer number (12230400).

Almost surely, 21201110120 is an apocalyptic number.

1201110120 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 1201110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2348236800).

1201110120 is an abundant number, since it is smaller than the sum of its proper divisors (3495363480).

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

1201110120 is a wasteful number, since it uses less digits than its factorization.

1201110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1201110120 is about 34657.0356493454. The cubic root of 1201110120 is about 1062.9861566671.

Adding to 1201110120 its reverse (210111021), we get a palindrome (1411221141).

Subtracting from 1201110120 its reverse (210111021), we obtain a palindrome (990999099).

The spelling of 1201110120 in words is "one billion, two hundred one million, one hundred ten thousand, one hundred twenty".