Search a number
-
+
120132430000 = 2454112101983
BaseRepresentation
bin110111111100001110…
…0110110100010110000
3102111002020100202022021
41233320130312202300
53432012400230000
6131104342521224
711451664543462
oct1577034664260
9374066322267
10120132430000
1146a47696800
121b348136214
13b436773c0b
145b58b7a132
1531d191411a
hex1bf87368b0

120132430000 has 300 divisors, whose sum is σ = 323191283184. Its totient is φ = 43208000000.

The previous prime is 120132429997. The next prime is 120132430001. The reversal of 120132430000 is 34231021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (120132430001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 122209509 + ... + 122210491.

Almost surely, 2120132430000 is an apocalyptic number.

120132430000 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 120132430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161595641592).

120132430000 is an abundant number, since it is smaller than the sum of its proper divisors (203058853184).

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

120132430000 is a wasteful number, since it uses less digits than its factorization.

120132430000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 120132430000 its reverse (34231021), we get a palindrome (120166661021).

The spelling of 120132430000 in words is "one hundred twenty billion, one hundred thirty-two million, four hundred thirty thousand".