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1321221000000 = 263561140037
BaseRepresentation
bin10011001110011110111…
…010001000101101000000
311200022022011101221121010
4103032132322020231000
5133121330034000000
62450543251200520
7164312042126136
oct23163672105500
94608264357533
101321221000000
1146a3658a0620
1219408a2a6140
139778a739b85
1447d39aa9756
152457be78d50
hex1339ee88b40

1321221000000 has 392 divisors, whose sum is σ = 4766963357088. Its totient is φ = 320288000000.

The previous prime is 1321220999993. The next prime is 1321221000017. The reversal of 1321221000000 is 1221231.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 1321221000000.

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 55 ways as a sum of consecutive naturals, for example, 32979982 + ... + 33020018.

Almost surely, 21321221000000 is an apocalyptic number.

1321221000000 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 1321221000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2383481678544).

1321221000000 is an abundant number, since it is smaller than the sum of its proper divisors (3445742357088).

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

1321221000000 is an frugal number, since it uses more digits than its factorization.

1321221000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40093 (or 40058 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1321221000000 its reverse (1221231), we get a palindrome (1321222221231).

The spelling of 1321221000000 in words is "one trillion, three hundred twenty-one billion, two hundred twenty-one million", and thus it is an aban number.