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132221100121000 = 235311411433204587
BaseRepresentation
bin11110000100000100011111…
…101101000101101110101000
3122100011012202210202000210021
4132010010133231011232220
5114312302303112333000
61145113311305530224
736564442056216352
oct3604043755055650
9570135683660707
10132221100121000
1139147721026440
12129b5402aa3974
1358a151c707107
14249176d1860d2
15104459312311a
hex78411fb45ba8

132221100121000 has 256 divisors, whose sum is σ = 345999683877120. Its totient is φ = 46874744320000.

The previous prime is 132221100120973. The next prime is 132221100121067. The reversal of 132221100121000 is 121001122231.

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, 646180707 + ... + 646385293.

It is an arithmetic number, because the mean of its divisors is an integer number (1351561265145).

Almost surely, 2132221100121000 is an apocalyptic number.

132221100121000 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 132221100121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172999841938560).

132221100121000 is an abundant number, since it is smaller than the sum of its proper divisors (213778583756120).

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

132221100121000 is a wasteful number, since it uses less digits than its factorization.

132221100121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206093 (or 206079 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 132221100121000 its reverse (121001122231), we get a palindrome (132342101243231).

The spelling of 132221100121000 in words is "one hundred thirty-two trillion, two hundred twenty-one billion, one hundred million, one hundred twenty-one thousand".