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1180246120872 = 23372131931131071
BaseRepresentation
bin10001001011001100001…
…001101001100110101000
311011211102101022002002120
4101023030021221212220
5123314121001331442
62302110402231240
7151161412333500
oct21131411514650
94154371262076
101180246120872
114155a3191355
121708a6055520
13873b1bc4c30
14411a4bcca00
1520a7a8894ec
hex112cc2699a8

1180246120872 has 384 divisors, whose sum is σ = 4016465510400. Its totient is φ = 285376089600.

The previous prime is 1180246120819. The next prime is 1180246120927. The reversal of 1180246120872 is 2780216420811.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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, 8939097 + ... + 9070167.

It is an arithmetic number, because the mean of its divisors is an integer number (10459545600).

Almost surely, 21180246120872 is an apocalyptic number.

1180246120872 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 1180246120872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2008232755200).

1180246120872 is an abundant number, since it is smaller than the sum of its proper divisors (2836219389528).

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

1180246120872 is a wasteful number, since it uses less digits than its factorization.

1180246120872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131157 (or 131146 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The spelling of 1180246120872 in words is "one trillion, one hundred eighty billion, two hundred forty-six million, one hundred twenty thousand, eight hundred seventy-two".