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12254440212 = 2233773233953
BaseRepresentation
bin10110110100110101…
…11110101100010100
31011122000220001201000
423122122332230110
5200044114041322
65343555103300
7612451010640
oct133232765424
934560801630
1012254440212
115219348343
12245bba1b30
131203aa0271
14843731c20
154bac803ac
hex2da6beb14

12254440212 has 192 divisors, whose sum is σ = 37003599360. Its totient is φ = 3434876928.

The previous prime is 12254440201. The next prime is 12254440217. The reversal of 12254440212 is 21204445221.

It is a happy number.

12254440212 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 4 + 440 + 212 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12254440217) by changing a digit.

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, 12858328 + ... + 12859280.

It is an arithmetic number, because the mean of its divisors is an integer number (192727080).

Almost surely, 212254440212 is an apocalyptic number.

12254440212 is a gapful number since it is divisible by the number (12) 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 12254440212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18501799680).

12254440212 is an abundant number, since it is smaller than the sum of its proper divisors (24749159148).

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

12254440212 is a wasteful number, since it uses less digits than its factorization.

12254440212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 12254440212 its reverse (21204445221), we get a palindrome (33458885433).

The spelling of 12254440212 in words is "twelve billion, two hundred fifty-four million, four hundred forty thousand, two hundred twelve".