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132324020412000 = 2535337417268953
BaseRepresentation
bin11110000101100100010110…
…001110110101111001100000
3122100112001102111102112011220
4132011210112032311321200
5114320444043211141000
61145232452112535040
736605044403235654
oct3605442616657140
9570461374375156
10132324020412000
113918733592a37a
1212a11346851480
1358ab1422402a1
142496733dc0a64
1510470b89091a0
hex7859163b5e60

132324020412000 has 384 divisors, whose sum is σ = 456068362958208. Its totient is φ = 33495330816000.

The previous prime is 132324020411971. The next prime is 132324020412053. The reversal of 132324020412000 is 214020423231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14569524 + ... + 21838476.

It is an arithmetic number, because the mean of its divisors is an integer number (1187678028537).

Almost surely, 2132324020412000 is an apocalyptic number.

132324020412000 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 132324020412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228034181479104).

132324020412000 is an abundant number, since it is smaller than the sum of its proper divisors (323744342546208).

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

132324020412000 is a wasteful number, since it uses less digits than its factorization.

132324020412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7269059 (or 7269041 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 132324020412000 its reverse (214020423231), we get a palindrome (132538040835231).

The spelling of 132324020412000 in words is "one hundred thirty-two trillion, three hundred twenty-four billion, twenty million, four hundred twelve thousand".