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12124210432 = 282311511789
BaseRepresentation
bin10110100101010100…
…01100010100000000
31011021221211201000211
423102222030110000
5144312244213212
65323023523504
7606310042165
oct132252142400
934257751024
1012124210432
115161889824
122424459594
1311b2b04019
1483031206c
154ae6089a7
hex2d2a8c500

12124210432 has 72 divisors (see below), whose sum is σ = 25289349120. Its totient is φ = 5790259200.

The previous prime is 12124210421. The next prime is 12124210459. The reversal of 12124210432 is 23401242121.

It is a congruent number.

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, 6776194 + ... + 6777982.

It is an arithmetic number, because the mean of its divisors is an integer number (351240960).

Almost surely, 212124210432 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 12124210432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12644674560).

12124210432 is an abundant number, since it is smaller than the sum of its proper divisors (13165138688).

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

12124210432 is a wasteful number, since it uses less digits than its factorization.

12124210432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2979 (or 2965 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 12124210432 its reverse (23401242121), we get a palindrome (35525452553).

The spelling of 12124210432 in words is "twelve billion, one hundred twenty-four million, two hundred ten thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 736 1151 1472 1789 2302 2944 3578 4604 5888 7156 9208 14312 18416 26473 28624 36832 41147 52946 57248 73664 82294 105892 114496 147328 164588 211784 228992 294656 329176 423568 457984 658352 847136 1316704 1694272 2059139 2633408 3388544 4118278 5266816 6777088 8236556 10533632 16473112 32946224 47360197 65892448 94720394 131784896 189440788 263569792 378881576 527139584 757763152 1515526304 3031052608 6062105216 12124210432