10233120303000 has 1152 divisors, whose sum is σ = 41335435814400. Its totient is φ = 2236097664000.

The previous prime is 10233120302987. The next prime is 10233120303041. The reversal of 10233120303000 is 30302133201.

10233120303000 is a `hidden beast` number, since 1 + 0 + 2 + 331 + 2 + 0 + 30 + 300 + 0 = 666.

It is a super-2 number, since 2×10233120303000² (a number of 27 digits) contains 22 as substring.

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 287 ways as a sum of consecutive naturals, for example, 5088571995 + ... + 5088574005.

It is an arithmetic number, because the mean of its divisors is an integer number (35881454700).

Almost surely, 2^{10233120303000} is an apocalyptic number.

10233120303000 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 10233120303000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20667717907200).

10233120303000 is an abundant number, since it is smaller than the sum of its proper divisors (31102315511400).

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

10233120303000 is a wasteful number, since it uses less digits than its factorization.

10233120303000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2178 (or 2124 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 10233120303000 its reverse (30302133201), we get a palindrome (10263422436201).

The spelling of 10233120303000 in words is "ten trillion, two hundred thirty-three billion, one hundred twenty million, three hundred three thousand".