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1320132105012 = 223723310511229
BaseRepresentation
bin10011001101011110000…
…000010101001100110100
311200012111021110100111010
4103031132000111030310
5133112112304330022
62450243232312220
7164243050514160
oct23153600251464
94605437410433
101320132105012
11469957180706
12193a256a2670
1397645c76a06
1447c7521bca0
152451658850c
hex1335e015334

1320132105012 has 192 divisors, whose sum is σ = 3686854348800. Its totient is φ = 360144892800.

The previous prime is 1320132105011. The next prime is 1320132105031. The reversal of 1320132105012 is 2105012310231.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1320132105012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320132105011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1074150814 + ... + 1074152042.

It is an arithmetic number, because the mean of its divisors is an integer number (19202366400).

Almost surely, 21320132105012 is an apocalyptic number.

1320132105012 is a gapful number since it is divisible by the number (12) 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 1320132105012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1843427174400).

1320132105012 is an abundant number, since it is smaller than the sum of its proper divisors (2366722243788).

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

1320132105012 is a wasteful number, since it uses less digits than its factorization.

1320132105012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2363 (or 2315 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

Adding to 1320132105012 its reverse (2105012310231), we get a palindrome (3425144415243).

The spelling of 1320132105012 in words is "one trillion, three hundred twenty billion, one hundred thirty-two million, one hundred five thousand, twelve".