10033212000 has 384 divisors, whose sum is σ = 38786162688. Its totient is φ = 2218752000.

The previous prime is 10033211999. The next prime is 10033212043. The reversal of 10033212000 is 21233001.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2602074 + ... + 2605926.

It is an arithmetic number, because the mean of its divisors is an integer number (101005632).

Almost surely, 2^10033212000 is an apocalyptic number.

10033212000 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 10033212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19393081344).

10033212000 is an abundant number, since it is smaller than the sum of its proper divisors (28752950688).

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

10033212000 is a wasteful number, since it uses less digits than its factorization.

10033212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3919 (or 3901 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10033212000 its reverse (21233001), we get a palindrome (10054445001).

The spelling of 10033212000 in words is "ten billion, thirty-three million, two hundred twelve thousand".