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12401422124 = 22713210872411
BaseRepresentation
bin10111000110010111…
…01010111100101100
31012000021110111222112
423203023222330230
5200344231001444
65410325303152
7616214230430
oct134313527454
935007414875
1012401422124
115294308aa3
1224a1264ab8
131228383500
148590729c0
154c8b1569e
hex2e32eaf2c

12401422124 has 72 divisors (see below), whose sum is σ = 26893375488. Its totient is φ = 4899510720.

The previous prime is 12401422097. The next prime is 12401422139. The reversal of 12401422124 is 42122410421.

It is a self number, because there is not a number n which added to its sum of digits gives 12401422124.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5142479 + ... + 5144889.

It is an arithmetic number, because the mean of its divisors is an integer number (373519104).

Almost surely, 212401422124 is an apocalyptic number.

12401422124 is a gapful number since it is divisible by the number (14) 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 12401422124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13446687744).

12401422124 is an abundant number, since it is smaller than the sum of its proper divisors (14491953364).

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

12401422124 is a wasteful number, since it uses less digits than its factorization.

12401422124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3535 (or 3520 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 12401422124 its reverse (42122410421), we get a palindrome (54523832545).

The spelling of 12401422124 in words is "twelve billion, four hundred one million, four hundred twenty-two thousand, one hundred twenty-four".

Divisors: 1 2 4 7 13 14 26 28 52 91 169 182 338 364 676 1087 1183 2174 2366 2411 4348 4732 4822 7609 9644 14131 15218 16877 28262 30436 31343 33754 56524 62686 67508 98917 125372 183703 197834 219401 367406 395668 407459 438802 734812 814918 877604 1285921 1629836 2571842 2620757 2852213 5143684 5241514 5704426 10483028 11408852 18345299 34069841 36690598 68139682 73381196 136279364 238488887 442907933 476977774 885815866 953955548 1771631732 3100355531 6200711062 12401422124