Search a number
-
+
120111220000 = 255497101613
BaseRepresentation
bin110111111011100101…
…1111100010100100000
3102111000202110011122201
41233313023330110200
53431441433020000
6131102304142544
711451316344652
oct1576713742440
9374022404581
10120111220000
1146a3671a382
121b341007a54
13b432258b15
145b560186d2
1531ceb2496a
hex1bf72fc520

120111220000 has 240 divisors, whose sum is σ = 301985577432. Its totient is φ = 47001600000.

The previous prime is 120111219961. The next prime is 120111220109. The reversal of 120111220000 is 22111021.

It can be written as a sum of positive squares in 20 ways, for example, as 58581425296 + 61529794704 = 242036^2 + 248052^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 195939694 + ... + 195940306.

Almost surely, 2120111220000 is an apocalyptic number.

120111220000 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 120111220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150992788716).

120111220000 is an abundant number, since it is smaller than the sum of its proper divisors (181874357432).

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

120111220000 is an equidigital number, since it uses as much as digits as its factorization.

120111220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 120111220000 its reverse (22111021), we get a palindrome (120133331021).

The spelling of 120111220000 in words is "one hundred twenty billion, one hundred eleven million, two hundred twenty thousand".