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12450133254132 = 22327237411289847
BaseRepresentation
bin1011010100101100010111…
…0001010001111111110100
31122002012222012012122201100
42311023011301101333310
53112440333103113012
642251302351530100
72423330623362210
oct265130561217764
948065865178640
1012450133254132
113a70087714032
121490b04529930
136c4072585632
1431083807b940
15168ccac318dc
hexb52c5c51ff4

12450133254132 has 144 divisors (see below), whose sum is σ = 37536030185472. Its totient is φ = 3402050034240.

The previous prime is 12450133254121. The next prime is 12450133254137. The reversal of 12450133254132 is 23145233105421.

12450133254132 is a `hidden beast` number, since 1 + 2 + 4 + 50 + 1 + 3 + 32 + 541 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12450133254137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42809233 + ... + 43099079.

It is an arithmetic number, because the mean of its divisors is an integer number (260666876288).

Almost surely, 212450133254132 is an apocalyptic number.

12450133254132 is a gapful number since it is divisible by the number (12) 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 12450133254132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18768015092736).

12450133254132 is an abundant number, since it is smaller than the sum of its proper divisors (25085896931340).

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

12450133254132 is a wasteful number, since it uses less digits than its factorization.

12450133254132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297298 (or 297293 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 12450133254132 its reverse (23145233105421), we get a palindrome (35595366359553).

The spelling of 12450133254132 in words is "twelve trillion, four hundred fifty billion, one hundred thirty-three million, two hundred fifty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 252 276 322 414 483 644 828 966 1449 1932 2898 5796 7411 14822 22233 29644 44466 51877 66699 88932 103754 133398 155631 170453 207508 266796 289847 311262 340906 466893 511359 579694 622524 681812 869541 933786 1022718 1159388 1193171 1534077 1739082 1867572 2028929 2045436 2386342 2608623 3068154 3478164 3579513 4057858 4772684 5217246 6086787 6136308 6666481 7159026 8115716 10434492 10738539 12173574 13332962 14318052 18260361 19999443 21477078 24347148 26665924 36520722 39998886 42954156 46665367 59998329 73041444 79997772 93330734 119996658 139996101 186661468 239993316 279992202 419988303 559984404 839976606 1679953212 2148056117 4296112234 6444168351 8592224468 12888336702 15036392819 19332505053 25776673404 30072785638 38665010106 45109178457 49405290691 60145571276 77330020212 90218356914 98810581382 135327535371 148215872073 180436713828 197621162764 270655070742 296431744146 345837034837 444647616219 541310141484 592863488292 691674069674 889295232438 1037511104511 1383348139348 1778590464876 2075022209022 3112533313533 4150044418044 6225066627066 12450133254132