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1322220120320 = 28511532101331
BaseRepresentation
bin10011001111011010011…
…101011110100100000000
311200101212210102112000102
4103033122131132210000
5133130401322322240
62451230341541532
7164345563404311
oct23173235364400
94611783375012
101322220120320
1146a8288734a0
12194308a148a8
13978b9729828
1447dd2668608
15245d9a34815
hex133da75e900

1322220120320 has 432 divisors, whose sum is σ = 3567081236544. Its totient is φ = 465653760000.

The previous prime is 1322220120301. The next prime is 1322220120359. The reversal of 1322220120320 is 230210222231.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 1322220120292 and 1322220120301.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3994622555 + ... + 3994622885.

It is an arithmetic number, because the mean of its divisors is an integer number (8257132492).

Almost surely, 21322220120320 is an apocalyptic number.

1322220120320 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 1322220120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1783540618272).

1322220120320 is an abundant number, since it is smaller than the sum of its proper divisors (2244861116224).

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

1322220120320 is a wasteful number, since it uses less digits than its factorization.

1322220120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1322220120320 its reverse (230210222231), we get a palindrome (1552430342551).

The spelling of 1322220120320 in words is "one trillion, three hundred twenty-two billion, two hundred twenty million, one hundred twenty thousand, three hundred twenty".