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132012101323200 = 26352721921554781
BaseRepresentation
bin11110000001000001110110…
…011001111100100111000000
3122022102020022022122001101110
4132001001312121330213000
5114300341240414320300
61144433304440203320
736543362635566300
oct3601016631744700
9568366268561343
10132012101323200
113907702171526a
12129809b5769540
1358878c2c68c17
1424855c3cc3600
15103de0eb5d550
hex78107667c9c0

132012101323200 has 756 divisors, whose sum is σ = 531734380529112. Its totient is φ = 28586060697600.

The previous prime is 132012101323177. The next prime is 132012101323411. The reversal of 132012101323200 is 2323101210231.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 84129810 + ... + 85684590.

Almost surely, 2132012101323200 is an apocalyptic number.

132012101323200 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 132012101323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265867190264556).

132012101323200 is an abundant number, since it is smaller than the sum of its proper divisors (399722279205912).

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

132012101323200 is a wasteful number, since it uses less digits than its factorization.

132012101323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1554858 (or 1554817 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 132012101323200 its reverse (2323101210231), we get a palindrome (134335202533431).

The spelling of 132012101323200 in words is "one hundred thirty-two trillion, twelve billion, one hundred one million, three hundred twenty-three thousand, two hundred".