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12246235540 = 22571118114391
BaseRepresentation
bin10110110011110111…
…01011100110010100
31011121110110020000021
423121323223212110
5200040014014130
65343103154524
7612321166420
oct133173534624
934543406007
1012246235540
115214754020
1224592a5a44
131202189926
148425d7b80
154ba1ae37a
hex2d9eeb994

12246235540 has 96 divisors (see below), whose sum is σ = 32087881728. Its totient is φ = 3814032000.

The previous prime is 12246235457. The next prime is 12246235553. The reversal of 12246235540 is 4553264221.

It is a junction number, because it is equal to n+sod(n) for n = 12246235496 and 12246235505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2786745 + ... + 2791135.

It is an arithmetic number, because the mean of its divisors is an integer number (334248768).

Almost surely, 212246235540 is an apocalyptic number.

12246235540 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 12246235540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16043940864).

12246235540 is an abundant number, since it is smaller than the sum of its proper divisors (19841646188).

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

12246235540 is a wasteful number, since it uses less digits than its factorization.

12246235540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6229 (or 6227 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

Adding to 12246235540 its reverse (4553264221), we get a palindrome (16799499761).

The spelling of 12246235540 in words is "twelve billion, two hundred forty-six million, two hundred thirty-five thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 1811 3622 4391 7244 8782 9055 12677 17564 18110 19921 21955 25354 30737 36220 39842 43910 48301 50708 61474 63385 79684 87820 96602 99605 122948 126770 139447 153685 193204 199210 241505 253540 278894 307370 338107 398420 483010 557788 614740 676214 697235 966020 1352428 1394470 1690535 2788940 3381070 6762140 7952101 15904202 31808404 39760505 55664707 79521010 87473111 111329414 159042020 174946222 222658828 278323535 349892444 437365555 556647070 612311777 874731110 1113294140 1224623554 1749462220 2449247108 3061558885 6123117770 12246235540