33212213000010 has 384 divisors, whose sum is σ = 100839186040320. Its totient is φ = 7502797209600.

The previous prime is 33212212999993. The next prime is 33212213000041. The reversal of 33212213000010 is 1000031221233.

33212213000010 is a `hidden beast` number, since 332 + 1 + 2 + 21 + 300 + 0 + 0 + 10 = 666.

It is a super-2 number, since 2×33212213000010² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 661876042 + ... + 661926218.

It is an arithmetic number, because the mean of its divisors is an integer number (262602046980).

Almost surely, 2^{33212213000010} is an apocalyptic number.

33212213000010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 33212213000010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50419593020160).

33212213000010 is an abundant number, since it is smaller than the sum of its proper divisors (67626973040310).

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

33212213000010 is a wasteful number, since it uses less digits than its factorization.

33212213000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50974 (or 50971 counting only the distinct ones).

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

Adding to 33212213000010 its reverse (1000031221233), we get a palindrome (34212244221243).

The spelling of 33212213000010 in words is "thirty-three trillion, two hundred twelve billion, two hundred thirteen million, ten", and thus it is an aban number.