1233213102000 has 480 divisors, whose sum is σ = 4730414644800. Its totient is φ = 296947200000.

The previous prime is 1233213101987. The next prime is 1233213102001. The reversal of 1233213102000 is 2013123321.

1233213102000 is a `hidden beast` number, since 1 + 2 + 332 + 1 + 310 + 20 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1233213102001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29481100 + ... + 29522900.

It is an arithmetic number, because the mean of its divisors is an integer number (9855030510).

Almost surely, 2^{1233213102000} is an apocalyptic number.

1233213102000 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 1233213102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2365207322400).

1233213102000 is an abundant number, since it is smaller than the sum of its proper divisors (3497201542800).

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

1233213102000 is a wasteful number, since it uses less digits than its factorization.

1233213102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41990 (or 41971 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1233213102000 its reverse (2013123321), we get a palindrome (1235226225321).

The spelling of 1233213102000 in words is "one trillion, two hundred thirty-three billion, two hundred thirteen million, one hundred two thousand".