Search a number
-
+
120221110000 = 24541732447
BaseRepresentation
bin110111111110110111…
…1001000111011110000
3102111022102020011101201
41233331233020323300
53432203101010000
6131121231340544
711454122400655
oct1577557107360
9374272204351
10120221110000
1146a92756362
121b371981754
13b44bc530a4
145b66861c2c
1531d95ce96a
hex1bfdbc8ef0

120221110000 has 200 divisors, whose sum is σ = 309381716160. Its totient is φ = 45241216000.

The previous prime is 120221109997. The next prime is 120221110057. The reversal of 120221110000 is 11122021.

It is a tau number, because it is divible by the number of its divisors (200).

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

It is a congruent number.

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, 49128777 + ... + 49131223.

Almost surely, 2120221110000 is an apocalyptic number.

120221110000 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 120221110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154690858080).

120221110000 is an abundant number, since it is smaller than the sum of its proper divisors (189160606160).

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

120221110000 is an frugal number, since it uses more digits than its factorization.

120221110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2526 (or 2471 counting only the distinct ones).

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

Adding to 120221110000 its reverse (11122021), we get a palindrome (120232232021).

The spelling of 120221110000 in words is "one hundred twenty billion, two hundred twenty-one million, one hundred ten thousand".