Search a number
-
+
132222322120000 = 26547795977501
BaseRepresentation
bin11110000100000101101000…
…100010101001010101000000
3122100011022220222011000021111
4132010011220202221111000
5114312312303430320000
61145114032441333104
736564514255100560
oct3604055042512500
9570138828130244
10132222322120000
1139148198898372
12129b56a4197194
1358a1685931848
1424918475a0da0
151044615556cba
hex7841688a9540

132222322120000 has 280 divisors, whose sum is σ = 379449914159360. Its totient is φ = 44759520000000.

The previous prime is 132222322119961. The next prime is 132222322120061. The reversal of 132222322120000 is 21223222231.

132222322120000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (280).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 19131250 + ... + 25108750.

Almost surely, 2132222322120000 is an apocalyptic number.

132222322120000 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 132222322120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189724957079680).

132222322120000 is an abundant number, since it is smaller than the sum of its proper divisors (247227592039360).

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

132222322120000 is an frugal number, since it uses more digits than its factorization.

132222322120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5977619 (or 5977594 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 132222322120000 its reverse (21223222231), we get a palindrome (132243545342231).

The spelling of 132222322120000 in words is "one hundred thirty-two trillion, two hundred twenty-two billion, three hundred twenty-two million, one hundred twenty thousand".