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12301254224 = 2471313072731
BaseRepresentation
bin10110111010011011…
…00011111001010000
31011202021222110110022
423131031203321100
5200143110113344
65352350323012
7613556635640
oct133515437120
934667873408
1012301254224
115242812406
1224737b9468
1312106b146c
14849a3a520
154bee2b0ee
hex2dd363e50

12301254224 has 80 divisors (see below), whose sum is σ = 27545903616. Its totient is φ = 5212771200.

The previous prime is 12301254221. The next prime is 12301254233. The reversal of 12301254224 is 42245210321.

It is a junction number, because it is equal to n+sod(n) for n = 12301254193 and 12301254202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12301254221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4502939 + ... + 4505669.

Almost surely, 212301254224 is an apocalyptic number.

12301254224 is a gapful number since it is divisible by the number (14) 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 12301254224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13772951808).

12301254224 is an abundant number, since it is smaller than the sum of its proper divisors (15244649392).

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

12301254224 is a wasteful number, since it uses less digits than its factorization.

12301254224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3184 (or 3178 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 12301254224 its reverse (42245210321), we get a palindrome (54546464545).

The spelling of 12301254224 in words is "twelve billion, three hundred one million, two hundred fifty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 131 262 307 524 614 917 1048 1228 1834 2096 2149 2456 2731 3668 4298 4912 5462 7336 8596 10924 14672 17192 19117 21848 34384 38234 40217 43696 76468 80434 152936 160868 281519 305872 321736 357761 563038 643472 715522 838417 1126076 1431044 1676834 2252152 2504327 2862088 3353668 4504304 5008654 5724176 5868919 6707336 10017308 11737838 13414672 20034616 23475676 40069232 46951352 93902704 109832627 219665254 439330508 768828389 878661016 1537656778 1757322032 3075313556 6150627112 12301254224