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132123202332000 = 25353112271335771
BaseRepresentation
bin11110000010101001010100…
…100010101010010101100000
3122022210212002010210001220020
4132002221110202222111200
5114304201304244111000
61145000321120313440
736554405056564035
oct3602512442522540
9568725063701806
10132123202332000
113910a1542a9600
121299a441172880
13589521a5aaa09
14248ab233c938c
151041c6373aba0
hex782a548aa560

132123202332000 has 576 divisors, whose sum is σ = 477518456024064. Its totient is φ = 31911580800000.

The previous prime is 132123202331987. The next prime is 132123202332019. The reversal of 132123202332000 is 233202321231.

It is a super-2 number, since 2×1321232023320002 (a number of 29 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 393324115 + ... + 393659885.

It is an arithmetic number, because the mean of its divisors is an integer number (829025097264).

Almost surely, 2132123202332000 is an apocalyptic number.

132123202332000 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 132123202332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238759228012032).

132123202332000 is an abundant number, since it is smaller than the sum of its proper divisors (345395253692064).

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

132123202332000 is a wasteful number, since it uses less digits than its factorization.

132123202332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336092 (or 336063 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 132123202332000 its reverse (233202321231), we get a palindrome (132356404653231).

The spelling of 132123202332000 in words is "one hundred thirty-two trillion, one hundred twenty-three billion, two hundred two million, three hundred thirty-two thousand".