333200010000 has 800 divisors, whose sum is σ = 1277829463680. Its totient is φ = 73728000000.

The previous prime is 333200009971. The next prime is 333200010019. The reversal of 333200010000 is 10002333.

It is a happy number.

It is a super-2 number, since 2×333200010000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 433289616 + ... + 433290384.

Almost surely, 2^333200010000 is an apocalyptic number.

333200010000 is a gapful number since it is divisible by the number (30) 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 333200010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638914731840).

333200010000 is an abundant number, since it is smaller than the sum of its proper divisors (944629453680).

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

333200010000 is a wasteful number, since it uses less digits than its factorization.

333200010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 333200010000 its reverse (10002333), we get a palindrome (333210012333).

The spelling of 333200010000 in words is "three hundred thirty-three billion, two hundred million, ten thousand".