Search a number
-
+
120020567492232 = 2333111725913921313
BaseRepresentation
bin11011010010100001110111…
…010010101000011010001000
3120201221212001201010220012000
4123102201313102220122020
5111212404110234222412
61103132404301351000
734165125356035311
oct3322416722503210
9521855051126160
10120020567492232
1135273489468580
1211564959268460
1351c7b7755a914
14218d052879608
15dd202511c4dc
hex6d28774a8688

120020567492232 has 768 divisors, whose sum is σ = 395744711040000. Its totient is φ = 33406631608320.

The previous prime is 120020567492219. The next prime is 120020567492321. The reversal of 120020567492232 is 232294765020021.

120020567492232 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 20 + 567 + 49 + 2 + 23 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5631320808 + ... + 5631342120.

It is an arithmetic number, because the mean of its divisors is an integer number (515292592500).

Almost surely, 2120020567492232 is an apocalyptic number.

120020567492232 is a gapful number since it is divisible by the number (12) 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 120020567492232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197872355520000).

120020567492232 is an abundant number, since it is smaller than the sum of its proper divisors (275724143547768).

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

120020567492232 is a wasteful number, since it uses less digits than its factorization.

120020567492232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21571 (or 21544 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 120020567492232 in words is "one hundred twenty trillion, twenty billion, five hundred sixty-seven million, four hundred ninety-two thousand, two hundred thirty-two".