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120210130000 = 245412021013
BaseRepresentation
bin110111111110100010…
…1010000010001010000
3102111021122120022200001
41233331011100101100
53432142243130000
6131120200135344
711453630150212
oct1577505202120
9374248508601
10120210130000
1146a87536984
121b36a167554
13b4498aa44c
145b652045b2
1531d866146a
hex1bfd150450

120210130000 has 50 divisors (see below), whose sum is σ = 291040769954. Its totient is φ = 48084048000.

The previous prime is 120210129997. The next prime is 120210130003. The reversal of 120210130000 is 31012021.

120210130000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (120210129997) and next prime (120210130003).

It can be written as a sum of positive squares in 5 ways, for example, as 45340036624 + 74870093376 = 212932^2 + 273624^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120210130003) 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 9 ways as a sum of consecutive naturals, for example, 6000507 + ... + 6020506.

Almost surely, 2120210130000 is an apocalyptic number.

120210130000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120210130000 is an abundant number, since it is smaller than the sum of its proper divisors (170830639954).

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

120210130000 is an equidigital number, since it uses as much as digits as its factorization.

120210130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12021041 (or 12021020 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 120210130000 its reverse (31012021), we get a palindrome (120241142021).

The spelling of 120210130000 in words is "one hundred twenty billion, two hundred ten million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 12021013 24042026 48084052 60105065 96168104 120210130 192336208 240420260 300525325 480840520 601050650 961681040 1202101300 1502626625 2404202600 3005253250 4808405200 6010506500 7513133125 12021013000 15026266250 24042026000 30052532500 60105065000 120210130000