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12422121344 = 2753107109157
BaseRepresentation
bin10111001000110101…
…01000011110000000
31012001201102010222022
423210122220132000
5200420030340334
65412345101012
7616555201133
oct134432503600
935051363868
1012422121344
1152a4a66696
1224a8187768
13122c74cc79
1485bb0021a
154ca85382e
hex2e46a8780

12422121344 has 128 divisors (see below), whose sum is σ = 25846840800. Its totient is φ = 5943435264.

The previous prime is 12422121337. The next prime is 12422121347. The reversal of 12422121344 is 44312122421.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12422121347) 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, 79121714 + ... + 79121870.

Almost surely, 212422121344 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 12422121344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12923420400).

12422121344 is an abundant number, since it is smaller than the sum of its proper divisors (13424719456).

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

12422121344 is a wasteful number, since it uses less digits than its factorization.

12422121344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 428 counting only the distinct ones).

The product of its digits is 3072, while the sum is 26.

Adding to 12422121344 its reverse (44312122421), we get a palindrome (56734243765).

The spelling of 12422121344 in words is "twelve billion, four hundred twenty-two million, one hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 53 64 106 107 109 128 157 212 214 218 314 424 428 436 628 848 856 872 1256 1696 1712 1744 2512 3392 3424 3488 5024 5671 5777 6784 6848 6976 8321 10048 11342 11554 11663 13696 13952 16642 16799 17113 20096 22684 23108 23326 33284 33598 34226 45368 46216 46652 66568 67196 68452 90736 92432 93304 133136 134392 136904 181472 184864 186608 266272 268784 273808 362944 369728 373216 532544 537568 547616 618139 725888 739456 746432 890347 906989 1065088 1075136 1095232 1236278 1492864 1780694 1813978 1831091 2150272 2190464 2472556 3561388 3627956 3662182 4945112 7122776 7255912 7324364 9890224 14245552 14511824 14648728 19780448 28491104 29023648 29297456 39560896 56982208 58047296 58594912 79121792 97047823 113964416 116094592 117189824 194095646 234379648 388191292 776382584 1552765168 3105530336 6211060672 12422121344