Search a number
-
+
120621120000 = 293541719389
BaseRepresentation
bin111000001010110010…
…1000011101000000000
3102112100021220202221220
41300111211003220000
53434013001320000
6131225041115040
711500050413613
oct1602545035000
9375307822856
10120621120000
1147178528837
121b463928a80
13b4b3a990b4
145ba3a2a17a
15320e7961a0
hex1c15943a00

120621120000 has 800 divisors, whose sum is σ = 448697620800. Its totient is φ = 28606464000.

The previous prime is 120621119989. The next prime is 120621120077. The reversal of 120621120000 is 21126021.

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 310079806 + ... + 310080194.

It is an arithmetic number, because the mean of its divisors is an integer number (560872026).

Almost surely, 2120621120000 is an apocalyptic number.

120621120000 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 120621120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224348810400).

120621120000 is an abundant number, since it is smaller than the sum of its proper divisors (328076500800).

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

120621120000 is an equidigital number, since it uses as much as digits as its factorization.

120621120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 120621120000 its reverse (21126021), we get a palindrome (120642246021).

The spelling of 120621120000 in words is "one hundred twenty billion, six hundred twenty-one million, one hundred twenty thousand".