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119129472000 = 21032537111779
BaseRepresentation
bin110111011110010101…
…0110111110000000000
3102101111100010012120200
41232330222313300000
53422434121101000
6130421034005200
711415065542620
oct1567452676000
9371440105520
10119129472000
11465825325a0
121b108276800
13b306a3c546
145aa189c880
15317384b500
hex1bbcab7c00

119129472000 has 2112 divisors, whose sum is σ = 573877923840. Its totient is φ = 23003136000.

The previous prime is 119129471963. The next prime is 119129472001. The reversal of 119129472000 is 274921911.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (119129472001) by changing a digit.

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, 1507967961 + ... + 1507968039.

Almost surely, 2119129472000 is an apocalyptic number.

119129472000 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 119129472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286938961920).

119129472000 is an abundant number, since it is smaller than the sum of its proper divisors (454748451840).

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

119129472000 is a wasteful number, since it uses less digits than its factorization.

119129472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 119129472000 in words is "one hundred nineteen billion, one hundred twenty-nine million, four hundred seventy-two thousand".