Search a number
-
+
12051970560 = 29345719223
BaseRepresentation
bin10110011100101101…
…00111101000000000
31011002220220112120000
423032112213220000
5144140301024220
65311523320000
7604442026260
oct131626475000
934086815500
1012051970560
115125028953
122404220000
1311a0b5cb36
148248a97a0
154a80d9390
hex2ce5a7a00

12051970560 has 1200 divisors, whose sum is σ = 54329844096. Its totient is φ = 2496282624.

The previous prime is 12051970559. The next prime is 12051970561. The reversal of 12051970560 is 6507915021.

12051970560 is a `hidden beast` number, since 1 + 2 + 0 + 5 + 1 + 97 + 0 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (12051970559) and next prime (12051970561).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12051970561) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 523998709 + ... + 523998731.

Almost surely, 212051970560 is an apocalyptic number.

12051970560 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 12051970560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27164922048).

12051970560 is an abundant number, since it is smaller than the sum of its proper divisors (42277873536).

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

12051970560 is an equidigital number, since it uses as much as digits as its factorization.

12051970560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The spelling of 12051970560 in words is "twelve billion, fifty-one million, nine hundred seventy thousand, five hundred sixty".