33221016000 has 672 divisors, whose sum is σ = 128769758208. Its totient is φ = 8462361600.

The previous prime is 33221015939. The next prime is 33221016007. The reversal of 33221016000 is 61012233.

33221016000 is a `hidden beast` number, since 33 + 22 + 10 + 1 + 600 + 0 = 666.

It is a super-2 number, since 2×33221016000² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33221016007) 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, 44711629 + ... + 44712371.

It is an arithmetic number, because the mean of its divisors is an integer number (191621664).

Almost surely, 2^33221016000 is an apocalyptic number.

33221016000 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 33221016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64384879104).

33221016000 is an abundant number, since it is smaller than the sum of its proper divisors (95548742208).

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

33221016000 is an equidigital number, since it uses as much as digits as its factorization.

33221016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 776 counting only the distinct ones).

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

Adding to 33221016000 its reverse (61012233), we get a palindrome (33282028233).

The spelling of 33221016000 in words is "thirty-three billion, two hundred twenty-one million, sixteen thousand".