10223302011120 has 480 divisors, whose sum is σ = 38702916854784. Its totient is φ = 2396588083200.

The previous prime is 10223302011073. The next prime is 10223302011151. The reversal of 10223302011120 is 2111020332201.

10223302011120 is a `hidden beast` number, since 1 + 0 + 22 + 330 + 201 + 112 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10223302011093 and 10223302011102.

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, 47658505 + ... + 47872535.

Almost surely, 2^{10223302011120} is an apocalyptic number.

10223302011120 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 10223302011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19351458427392).

10223302011120 is an abundant number, since it is smaller than the sum of its proper divisors (28479614843664).

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

10223302011120 is a wasteful number, since it uses less digits than its factorization.

10223302011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214261 (or 214252 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10223302011120 its reverse (2111020332201), we get a palindrome (12334322343321).

The spelling of 10223302011120 in words is "ten trillion, two hundred twenty-three billion, three hundred two million, eleven thousand, one hundred twenty".