10223322333120 has 672 divisors, whose sum is σ = 39939660633600. Its totient is φ = 2379417182208.

The previous prime is 10223322333053. The next prime is 10223322333131. The reversal of 10223322333120 is 2133322332201.

10223322333120 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 3 + 322 + 3 + 331 + 2 + 0 = 666.

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, 372027541 + ... + 372055019.

It is an arithmetic number, because the mean of its divisors is an integer number (59434018800).

Almost surely, 2^{10223322333120} is an apocalyptic number.

10223322333120 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 10223322333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19969830316800).

10223322333120 is an abundant number, since it is smaller than the sum of its proper divisors (29716338300480).

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

10223322333120 is a wasteful number, since it uses less digits than its factorization.

10223322333120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28057 (or 28044 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 10223322333120 its reverse (2133322332201), we get a palindrome (12356644665321).

The spelling of 10223322333120 in words is "ten trillion, two hundred twenty-three billion, three hundred twenty-two million, three hundred thirty-three thousand, one hundred twenty".