Search a number
-
+
12252421125 = 33537518621
BaseRepresentation
bin10110110100100110…
…10001110000000101
31011121220002111001000
423122103101300011
5200043104434000
65343443523513
7612424601250
oct133223216005
934556074030
1012252421125
11521819937a
12245b389599
131203544239
14843368097
154ba9d2000
hex2da4d1c05

12252421125 has 64 divisors (see below), whose sum is σ = 25889610240. Its totient is φ = 5601096000.

The previous prime is 12252421109. The next prime is 12252421157. The reversal of 12252421125 is 52112425221.

12252421125 is a `hidden beast` number, since 1 + 22 + 524 + 2 + 112 + 5 = 666.

It is not a de Polignac number, because 12252421125 - 24 = 12252421109 is a prime.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 235686 + ... + 282935.

It is an arithmetic number, because the mean of its divisors is an integer number (404525160).

Almost surely, 212252421125 is an apocalyptic number.

12252421125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12252421125 is an abundant number, since it is smaller than the sum of its proper divisors (13637189115).

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

12252421125 is an equidigital number, since it uses as much as digits as its factorization.

12252421125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518652 (or 518636 counting only the distinct ones).

The product of its digits is 3200, while the sum is 27.

Adding to 12252421125 its reverse (52112425221), we get a palindrome (64364846346).

The spelling of 12252421125 in words is "twelve billion, two hundred fifty-two million, four hundred twenty-one thousand, one hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 105 125 135 175 189 225 315 375 525 675 875 945 1125 1575 2625 3375 4725 7875 23625 518621 1555863 2593105 3630347 4667589 7779315 10891041 12965525 14002767 18151735 23337945 32673123 38896575 54455205 64827625 70013835 90758675 98019369 116689725 163365615 194482875 272276025 350069175 453793375 490096845 583448625 816828075 1361380125 1750345875 2450484225 4084140375 12252421125