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132012440489200 = 24522931129999689
BaseRepresentation
bin11110000001000010001010…
…100111110000110011110000
3122022102021011221211110200011
4132001002022213300303300
5114300342434231123300
61144433402233504304
736543404224501405
oct3601021247606360
9568367157743604
10132012440489200
113907718610a747
1212980a8b272094
1358879482caa6b
142485616d702ac
15103de2e806eba
hex78108a9f0cf0

132012440489200 has 120 divisors (see below), whose sum is σ = 318273703398000. Its totient is φ = 52619569121280.

The previous prime is 132012440489147. The next prime is 132012440489201. The reversal of 132012440489200 is 2984044210231.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132012440489201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1324192956 + ... + 1324292644.

It is an arithmetic number, because the mean of its divisors is an integer number (2652280861650).

Almost surely, 2132012440489200 is an apocalyptic number.

132012440489200 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 132012440489200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159136851699000).

132012440489200 is an abundant number, since it is smaller than the sum of its proper divisors (186261262908800).

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

132012440489200 is a wasteful number, since it uses less digits than its factorization.

132012440489200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111299 (or 111288 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

Adding to 132012440489200 its reverse (2984044210231), we get a palindrome (134996484699431).

The spelling of 132012440489200 in words is "one hundred thirty-two trillion, twelve billion, four hundred forty million, four hundred eighty-nine thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 293 400 586 1172 1465 2344 2930 4688 5860 7325 11299 11720 14650 22598 23440 29300 45196 56495 58600 90392 99689 112990 117200 180784 199378 225980 282475 398756 451960 498445 564950 797512 903920 996890 1129900 1595024 1993780 2259800 2492225 3310607 3987560 4519600 4984450 6621214 7975120 9968900 13242428 16553035 19937800 26484856 29208877 33106070 39875600 52969712 58417754 66212140 82765175 116835508 132424280 146044385 165530350 233671016 264848560 292088770 331060700 467342032 584177540 662121400 730221925 1126386011 1168355080 1324242800 1460443850 2252772022 2336710160 2920887700 4505544044 5631930055 5841775400 9011088088 11263860110 11683550800 18022176176 22527720220 28159650275 45055440440 56319300550 90110880880 112638601100 225277202200 330031101223 450554404400 660062202446 1320124404892 1650155506115 2640248809784 3300311012230 5280497619568 6600622024460 8250777530575 13201244048920 16501555061150 26402488097840 33003110122300 66006220244600 132012440489200