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1322233132000 = 255311257116929
BaseRepresentation
bin10011001111011011001…
…111000111001111100000
311200101220200220120200111
4103033123033013033200
5133130413140211000
62451231524501104
7164346112116244
oct23173317071740
94611820816614
101322233132000
1146a835150350
1219431124a794
13978bc334151
1447dd4294424
15245dac54cba
hex133db3c73e0

1322233132000 has 192 divisors, whose sum is σ = 3557886171840. Its totient is φ = 478937088000.

The previous prime is 1322233131977. The next prime is 1322233132001. The reversal of 1322233132000 is 2313322231.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1322233132001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 11249536 + ... + 11366464.

It is an arithmetic number, because the mean of its divisors is an integer number (18530657145).

Almost surely, 21322233132000 is an apocalyptic number.

1322233132000 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 1322233132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1778943085920).

1322233132000 is an abundant number, since it is smaller than the sum of its proper divisors (2235653039840).

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

1322233132000 is a wasteful number, since it uses less digits than its factorization.

1322233132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117222 (or 117204 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 1322233132000 its reverse (2313322231), we get a palindrome (1324546454231).

The spelling of 1322233132000 in words is "one trillion, three hundred twenty-two billion, two hundred thirty-three million, one hundred thirty-two thousand".