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12440423124 = 2233377094391
BaseRepresentation
bin10111001011000000…
…11100101011010100
31012002222211222022000
423211200130223110
5200434222014444
65414241235300
7620166565113
oct134540345324
935088758260
1012440423124
115304327028
1224b2332b30
13123348a41c
14860305c7a
154cc26b469
hex2e581cad4

12440423124 has 96 divisors (see below), whose sum is σ = 33178924800. Its totient is φ = 4028123520.

The previous prime is 12440423077. The next prime is 12440423131. The reversal of 12440423124 is 42132404421.

12440423124 is a `hidden beast` number, since 1 + 2 + 4 + 404 + 231 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 2830969 + ... + 2835359.

It is an arithmetic number, because the mean of its divisors is an integer number (345613800).

Almost surely, 212440423124 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 12440423124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16589462400).

12440423124 is an abundant number, since it is smaller than the sum of its proper divisors (20738501676).

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

12440423124 is a wasteful number, since it uses less digits than its factorization.

12440423124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5150 (or 5142 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 12440423124 its reverse (42132404421), we get a palindrome (54572827545).

The spelling of 12440423124 in words is "twelve billion, four hundred forty million, four hundred twenty-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 333 444 666 709 999 1332 1418 1998 2127 2836 3996 4254 4391 6381 8508 8782 12762 13173 17564 19143 25524 26233 26346 38286 39519 52466 52692 76572 78699 79038 104932 118557 157398 158076 162467 236097 237114 314796 324934 472194 474228 487401 649868 708291 944388 974802 1416582 1462203 1949604 2833164 2924406 3113219 4386609 5848812 6226438 8773218 9339657 12452876 17546436 18679314 28018971 37358628 56037942 84056913 112075884 115189103 168113826 230378206 336227652 345567309 460756412 691134618 1036701927 1382269236 2073403854 3110105781 4146807708 6220211562 12440423124