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1223303112000 = 2632531011491129
BaseRepresentation
bin10001110011010010100…
…011000010010101000000
311022221120002121212001200
4101303102203002111000
5130020311044041000
62333551103101200
7154244406613044
oct21632243022500
94287502555050
101223303112000
11431888796042
121791018a1800
138b4843c4288
14432cb39a024
1521c4a921500
hex11cd28c2540

1223303112000 has 672 divisors, whose sum is σ = 4452885684000. Its totient is φ = 320532480000.

The previous prime is 1223303111959. The next prime is 1223303112089. The reversal of 1223303112000 is 2113033221.

1223303112000 is a `hidden beast` number, since 1 + 2 + 2 + 330 + 311 + 20 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 1035412072704 + 187891039296 = 1017552^2 + 433464^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1083527436 + ... + 1083528564.

Almost surely, 21223303112000 is an apocalyptic number.

1223303112000 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 1223303112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2226442842000).

1223303112000 is an abundant number, since it is smaller than the sum of its proper divisors (3229582572000).

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

1223303112000 is a wasteful number, since it uses less digits than its factorization.

1223303112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1223303112000 its reverse (2113033221), we get a palindrome (1225416145221).

The spelling of 1223303112000 in words is "one trillion, two hundred twenty-three billion, three hundred three million, one hundred twelve thousand".