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120131132000 = 2553118930677
BaseRepresentation
bin110111111100001011…
…1111001101001100000
3102111002010220210210012
41233320113321221200
53432012032211000
6131104255024052
711451650526305
oct1577027715140
9374063823705
10120131132000
1146a4698a580
121b34780b028
13b43640b179
145b5891d0ac
1531d1759735
hex1bf85f9a60

120131132000 has 192 divisors, whose sum is σ = 325623654720. Its totient is φ = 43191808000.

The previous prime is 120131131999. The next prime is 120131132003. The reversal of 120131132000 is 231131021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120131132003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3900662 + ... + 3931338.

It is an arithmetic number, because the mean of its divisors is an integer number (1695956535).

Almost surely, 2120131132000 is an apocalyptic number.

120131132000 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 120131132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162811827360).

120131132000 is an abundant number, since it is smaller than the sum of its proper divisors (205492522720).

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

120131132000 is a wasteful number, since it uses less digits than its factorization.

120131132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30802 (or 30784 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 120131132000 its reverse (231131021), we get a palindrome (120362263021).

The spelling of 120131132000 in words is "one hundred twenty billion, one hundred thirty-one million, one hundred thirty-two thousand".