Search a number
-
+
12018720000 = 283547373
BaseRepresentation
bin10110011000101111…
…10001110100000000
31011000121100020100210
423030113301310000
5144103243020000
65304334514120
7603556302000
oct131427616400
934017306323
1012018720000
115108288251
1223b5065940
131196cba451
148202d2000
154a521c350
hex2cc5f1d00

12018720000 has 720 divisors, whose sum is σ = 47252374400. Its totient is φ = 2709504000.

The previous prime is 12018719987. The next prime is 12018720001. The reversal of 12018720000 is 2781021.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12018720001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 164639964 + ... + 164640036.

Almost surely, 212018720000 is an apocalyptic number.

12018720000 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 12018720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23626187200).

12018720000 is an abundant number, since it is smaller than the sum of its proper divisors (35233654400).

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

12018720000 is an frugal number, since it uses more digits than its factorization.

12018720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The spelling of 12018720000 in words is "twelve billion, eighteen million, seven hundred twenty thousand".