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12323220100000 = 25551726532
BaseRepresentation
bin1011001101010011100100…
…1010000001001110100000
31121122002101101201102120021
42303110321022001032200
53103400423321200000
642113113102323224
72411215611355405
oct263247112011640
947562341642507
1012323220100000
113a21280531997
1214703a5589514
136b50c8081724
143086389442ac
1516584ddb911a
hexb35392813a0

12323220100000 has 324 divisors, whose sum is σ = 32262878336598. Its totient is φ = 4632225280000.

The previous prime is 12323220099997. The next prime is 12323220100019. The reversal of 12323220100000 is 102232321.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 27 ways, for example, as 12290717779344 + 32502320656 = 3505812^2 + 180284^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 18871699674 + ... + 18871700326.

Almost surely, 212323220100000 is an apocalyptic number.

12323220100000 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 12323220100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16131439168299).

12323220100000 is an abundant number, since it is smaller than the sum of its proper divisors (19939658236598).

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

12323220100000 is an frugal number, since it uses more digits than its factorization.

12323220100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1375 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 12323220100000 its reverse (102232321), we get a palindrome (12323322332321).

The spelling of 12323220100000 in words is "twelve trillion, three hundred twenty-three billion, two hundred twenty million, one hundred thousand".