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12323432224 = 251931165173
BaseRepresentation
bin10110111101000100…
…01010011100100000
31011210211201012221201
423132202022130200
5200214244312344
65354501530544
7614246305555
oct133642123440
934724635851
1012323432224
115254290034
12247b113a54
13121517803c
1484c970a2c
154c1d5c4d4
hex2de88a720

12323432224 has 48 divisors (see below), whose sum is σ = 25621202880. Its totient is φ = 5818556160.

The previous prime is 12323432213. The next prime is 12323432239. The reversal of 12323432224 is 42223432321.

It is a junction number, because it is equal to n+sod(n) for n = 12323432192 and 12323432201.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 156502 + ... + 221674.

It is an arithmetic number, because the mean of its divisors is an integer number (533775060).

Almost surely, 212323432224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12323432224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12810601440).

12323432224 is an abundant number, since it is smaller than the sum of its proper divisors (13297770656).

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

12323432224 is a wasteful number, since it uses less digits than its factorization.

12323432224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65513 (or 65505 counting only the distinct ones).

The product of its digits is 13824, while the sum is 28.

Adding to 12323432224 its reverse (42223432321), we get a palindrome (54546864545).

The spelling of 12323432224 in words is "twelve billion, three hundred twenty-three million, four hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 311 608 622 1244 2488 4976 5909 9952 11818 23636 47272 65173 94544 130346 189088 260692 521384 1042768 1238287 2085536 2476574 4953148 9906296 19812592 20268803 39625184 40537606 81075212 162150424 324300848 385107257 648601696 770214514 1540429028 3080858056 6161716112 12323432224