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12422051440 = 2453729314323
BaseRepresentation
bin10111001000110100…
…10111011001110000
31012001201021121002021
423210122113121300
5200420021121230
65412343401224
7616554460261
oct134432273160
935051247067
1012422051440
1152a4a19117
1224a8153214
13122c7271c6
1485bac2968
154ca83cc7a
hex2e4697670

12422051440 has 80 divisors (see below), whose sum is σ = 29765157408. Its totient is φ = 4817691648.

The previous prime is 12422051387. The next prime is 12422051443. The reversal of 12422051440 is 4415022421.

12422051440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12422051443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 860119 + ... + 874441.

Almost surely, 212422051440 is an apocalyptic number.

12422051440 is a gapful number since it is divisible by the number (10) 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 12422051440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14882578704).

12422051440 is an abundant number, since it is smaller than the sum of its proper divisors (17343105968).

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

12422051440 is a wasteful number, since it uses less digits than its factorization.

12422051440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14666 (or 14660 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 12422051440 its reverse (4415022421), we get a palindrome (16837073861).

The spelling of 12422051440 in words is "twelve billion, four hundred twenty-two million, fifty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 293 296 370 586 592 740 1172 1465 1480 2344 2930 2960 4688 5860 10841 11720 14323 21682 23440 28646 43364 54205 57292 71615 86728 108410 114584 143230 173456 216820 229168 286460 433640 529951 572920 867280 1059902 1145840 2119804 2649755 4196639 4239608 5299510 8393278 8479216 10599020 16786556 20983195 21198040 33573112 41966390 42396080 67146224 83932780 155275643 167865560 310551286 335731120 621102572 776378215 1242205144 1552756430 2484410288 3105512860 6211025720 12422051440