223123220100000 has 1728 divisors, whose sum is σ = 940858987670784. Its totient is φ = 49531392000000.

The previous prime is 223123220099999. The next prime is 223123220100043. The reversal of 223123220100000 is 1022321322.

223123220100000 is a `hidden beast` number, since 2 + 231 + 232 + 201 + 0 + 0 + 0 + 0 + 0 = 666.

It is a super-3 number, since 3×223123220100000³ (a number of 44 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6227082085 + ... + 6227117915.

It is an arithmetic number, because the mean of its divisors is an integer number (544478580828).

Almost surely, 2^{223123220100000} is an apocalyptic number.

223123220100000 is a gapful number since it is divisible by the number (20) 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 223123220100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470429493835392).

223123220100000 is an abundant number, since it is smaller than the sum of its proper divisors (717735767570784).

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

223123220100000 is a wasteful number, since it uses less digits than its factorization.

223123220100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35937 (or 35906 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 223123220100000 its reverse (1022321322), we get a palindrome (223124242421322).

The spelling of 223123220100000 in words is "two hundred twenty-three trillion, one hundred twenty-three billion, two hundred twenty million, one hundred thousand".