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132121220132000 = 25531119792000503
BaseRepresentation
bin11110000010100111011110…
…011001001010110010100000
3122022210122221222220212200102
4132002213132121022302200
5114304133224323211000
61144555352311041532
736554305000266221
oct3602473631126240
9568718858825612
10132121220132000
113910932740a390
1212999b893702a8
135894c92a265c8
14248a9b6045248
151041b996e23d5
hex7829de64aca0

132121220132000 has 384 divisors, whose sum is σ = 377490303590400. Its totient is φ = 44939276928000.

The previous prime is 132121220131993. The next prime is 132121220132003. The reversal of 132121220132000 is 231022121231.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (132121220132003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65043749 + ... + 67044251.

It is an arithmetic number, because the mean of its divisors is an integer number (983047665600).

Almost surely, 2132121220132000 is an apocalyptic number.

132121220132000 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 132121220132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188745151795200).

132121220132000 is an abundant number, since it is smaller than the sum of its proper divisors (245369083458400).

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

132121220132000 is a wasteful number, since it uses less digits than its factorization.

132121220132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2000637 (or 2000619 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 132121220132000 its reverse (231022121231), we get a palindrome (132352242253231).

The spelling of 132121220132000 in words is "one hundred thirty-two trillion, one hundred twenty-one billion, two hundred twenty million, one hundred thirty-two thousand".