Search a number
-
+
12195557920 = 25571317291699
BaseRepresentation
bin10110101101110100…
…10111001000100000
31011110221002112101101
423112322113020200
5144434030323140
65334053044144
7611134350310
oct132672271040
934427075341
1012195557920
115199090197
122444326654
1311c4824c80
148399a5440
154b59ed99a
hex2d6e97220

12195557920 has 384 divisors, whose sum is σ = 38864448000. Its totient is φ = 3505324032.

The previous prime is 12195557851. The next prime is 12195557923. The reversal of 12195557920 is 2975559121.

It is not an unprimeable number, because it can be changed into a prime (12195557923) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7177231 + ... + 7178929.

It is an arithmetic number, because the mean of its divisors is an integer number (101209500).

Almost surely, 212195557920 is an apocalyptic number.

12195557920 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 12195557920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19432224000).

12195557920 is an abundant number, since it is smaller than the sum of its proper divisors (26668890080).

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

12195557920 is a wasteful number, since it uses less digits than its factorization.

12195557920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1780 (or 1772 counting only the distinct ones).

The product of its (nonzero) digits is 283500, while the sum is 46.

The spelling of 12195557920 in words is "twelve billion, one hundred ninety-five million, five hundred fifty-seven thousand, nine hundred twenty".