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124400414012 = 227431634911291
BaseRepresentation
bin111001111011011010…
…1111010110100111100
3102220002200022210201012
41303312311322310330
54014233001222022
6133052044334352
711662521033530
oct1636665726474
9386080283635
10124400414012
1148837877316
12201395443b8
13b966a63944
14604192bbc0
153381471de2
hex1cf6d7ad3c

124400414012 has 96 divisors (see below), whose sum is σ = 256869279744. Its totient is φ = 51609700800.

The previous prime is 124400413979. The next prime is 124400414023. The reversal of 124400414012 is 210414004421.

It is a super-2 number, since 2×1244004140122 (a number of 23 digits) contains 22 as substring.

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, 96359087 + ... + 96360377.

It is an arithmetic number, because the mean of its divisors is an integer number (2675721664).

Almost surely, 2124400414012 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 124400414012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128434639872).

124400414012 is an abundant number, since it is smaller than the sum of its proper divisors (132468865732).

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

124400414012 is a wasteful number, since it uses less digits than its factorization.

124400414012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1999 (or 1997 counting only the distinct ones).

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

Adding to 124400414012 its reverse (210414004421), we get a palindrome (334814418433).

The spelling of 124400414012 in words is "one hundred twenty-four billion, four hundred million, four hundred fourteen thousand, twelve".

Divisors: 1 2 4 7 14 28 43 86 163 172 301 326 491 602 652 982 1141 1204 1291 1964 2282 2582 3437 4564 5164 6874 7009 9037 13748 14018 18074 21113 28036 36148 42226 49063 55513 80033 84452 98126 111026 147791 160066 196252 210433 222052 295582 320132 388591 420866 560231 591164 633881 777182 841732 1120462 1267762 1473031 1554364 2240924 2535524 2946062 3441419 4437167 5892124 6882838 8874334 9048619 13765676 17748668 18097238 24089933 27256883 36194476 48179866 54513766 63340333 96359732 103322603 109027532 126680666 190798181 206645206 253361332 381596362 413290412 723258221 763192724 1446516442 2893032884 4442871929 8885743858 17771487716 31100103503 62200207006 124400414012