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120110001000000 = 263561119191563
BaseRepresentation
bin11011010011110101001001…
…111100011000111001000000
3120202021101220111001211001120
4123103311021330120321000
5111220340240224000000
61103241434524032240
734204442536231104
oct3323651174307100
9522241814054046
10120110001000000
11352a8402337670
121157a158392680
13520342abb6a9b
1421934d8433904
15dd450b8996a0
hex6d3d49f18e40

120110001000000 has 784 divisors, whose sum is σ = 456155936129280. Its totient is φ = 27584928000000.

The previous prime is 120110000999957. The next prime is 120110001000001. The reversal of 120110001000000 is 100011021.

It is a Harshad number since it is a multiple of its sum of digits (6).

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 (120110001000001) 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 111 ways as a sum of consecutive naturals, for example, 626904219 + ... + 627095781.

Almost surely, 2120110001000000 is an apocalyptic number.

120110001000000 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 120110001000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228077968064640).

120110001000000 is an abundant number, since it is smaller than the sum of its proper divisors (336045935129280).

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

120110001000000 is an equidigital number, since it uses as much as digits as its factorization.

120110001000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191638 (or 191603 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 120110001000000 its reverse (100011021), we get a palindrome (120110101011021).

The spelling of 120110001000000 in words is "one hundred twenty trillion, one hundred ten billion, one million", and thus it is an aban number.