Search a number
-
+
12253452120 = 23335713124679
BaseRepresentation
bin10110110100101110…
…01101011101011000
31011121222000212022000
423122113031131120
5200043340431440
65343522001000
7612436424130
oct133227153530
934558025260
1012253452120
115218832a38
12245b7a6160
1312038155b0
14843555ac0
154bab37730
hex2da5cd758

12253452120 has 256 divisors, whose sum is σ = 50270976000. Its totient is φ = 2585323008.

The previous prime is 12253452073. The next prime is 12253452173. The reversal of 12253452120 is 2125435221.

12253452120 is a `hidden beast` number, since 1 + 2 + 2 + 534 + 5 + 2 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35941 + ... + 160619.

It is an arithmetic number, because the mean of its divisors is an integer number (196371000).

Almost surely, 212253452120 is an apocalyptic number.

12253452120 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 12253452120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25135488000).

12253452120 is an abundant number, since it is smaller than the sum of its proper divisors (38017523880).

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

12253452120 is a wasteful number, since it uses less digits than its factorization.

12253452120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124719 (or 124709 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 12253452120 its reverse (2125435221), we get a palindrome (14378887341).

The spelling of 12253452120 in words is "twelve billion, two hundred fifty-three million, four hundred fifty-two thousand, one hundred twenty".