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132222031221000 = 23353761631021627
BaseRepresentation
bin11110000100000101010111…
…001100111101000100001000
3122100011022011200202210212110
4132010011113030331010020
5114312311204443033000
61145113543530342320
736564504123354540
oct3604052714750410
9570138150683773
10132222031221000
113914805966a676
12129b562288a9a0
1358a163a59c366
14249181aaba320
1510445e9c44850
hex78415733d108

132222031221000 has 256 divisors, whose sum is σ = 471542946600960. Its totient is φ = 30217245177600.

The previous prime is 132222031220911. The next prime is 132222031221041. The reversal of 132222031221000 is 122130222231.

132222031221000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 128912187 + ... + 129933813.

It is an arithmetic number, because the mean of its divisors is an integer number (1841964635160).

Almost surely, 2132222031221000 is an apocalyptic number.

132222031221000 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 132222031221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235771473300480).

132222031221000 is an abundant number, since it is smaller than the sum of its proper divisors (339320915379960).

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

132222031221000 is a wasteful number, since it uses less digits than its factorization.

132222031221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027821 (or 1027807 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 132222031221000 its reverse (122130222231), we get a palindrome (132344161443231).

The spelling of 132222031221000 in words is "one hundred thirty-two trillion, two hundred twenty-two billion, thirty-one million, two hundred twenty-one thousand".