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1320122030000 = 24542315138011
BaseRepresentation
bin10011001101011101011…
…001111001011110110000
311200012110120111111011112
4103031131121321132300
5133112102214430000
62450242232332452
7164242566053024
oct23153531713660
94605416444145
101320122030000
1146995151a154
12193a22244128
1397643b59c77
1447c73b58384
1524515748235
hex1335d6797b0

1320122030000 has 200 divisors, whose sum is σ = 3357285524736. Its totient is φ = 501732000000.

The previous prime is 1320122029987. The next prime is 1320122030009. The reversal of 1320122030000 is 302210231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is not an unprimeable number, because it can be changed into a prime (1320122030009) 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 39 ways as a sum of consecutive naturals, for example, 34710995 + ... + 34749005.

Almost surely, 21320122030000 is an apocalyptic number.

1320122030000 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 1320122030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678642762368).

1320122030000 is an abundant number, since it is smaller than the sum of its proper divisors (2037163494736).

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

1320122030000 is a wasteful number, since it uses less digits than its factorization.

1320122030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38213 (or 38192 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 1320122030000 its reverse (302210231), we get a palindrome (1320424240231).

The spelling of 1320122030000 in words is "one trillion, three hundred twenty billion, one hundred twenty-two million, thirty thousand".