10233300123000 has 384 divisors, whose sum is σ = 35536281880320. Its totient is φ = 2654162380800.

The previous prime is 10233300122987. The next prime is 10233300123029. The reversal of 10233300123000 is 32100333201.

10233300123000 is a `hidden beast` number, since 1 + 0 + 23 + 330 + 0 + 12 + 300 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 1646015892 + ... + 1646022108.

It is an arithmetic number, because the mean of its divisors is an integer number (92542400730).

Almost surely, 2^{10233300123000} is an apocalyptic number.

10233300123000 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 10233300123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17768140940160).

10233300123000 is an abundant number, since it is smaller than the sum of its proper divisors (25302981757320).

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

10233300123000 is a wasteful number, since it uses less digits than its factorization.

10233300123000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11224 (or 11207 counting only the distinct ones).

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

Adding to 10233300123000 its reverse (32100333201), we get a palindrome (10265400456201).

The spelling of 10233300123000 in words is "ten trillion, two hundred thirty-three billion, three hundred million, one hundred twenty-three thousand".