33220010001000 has 256 divisors, whose sum is σ = 109138163097600. Its totient is φ = 8389603872000.

The previous prime is 33220010000897. The next prime is 33220010001067. The reversal of 33220010001000 is 10001002233.

It is a happy number.

It is a super-2 number, since 2×33220010001000² (a number of 28 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 63 ways as a sum of consecutive naturals, for example, 172214605 + ... + 172407395.

It is an arithmetic number, because the mean of its divisors is an integer number (426320949600).

Almost surely, 2^{33220010001000} is an apocalyptic number.

33220010001000 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 33220010001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54569081548800).

33220010001000 is an abundant number, since it is smaller than the sum of its proper divisors (75918153096600).

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

33220010001000 is a wasteful number, since it uses less digits than its factorization.

33220010001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195857 (or 195843 counting only the distinct ones).

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

Adding to 33220010001000 its reverse (10001002233), we get a palindrome (33230011003233).

The spelling of 33220010001000 in words is "thirty-three trillion, two hundred twenty billion, ten million, one thousand".