33133225200000 has 192 divisors, whose sum is σ = 110005624970640. Its totient is φ = 8835526400000.

The previous prime is 33133225199993. The next prime is 33133225200007. The reversal of 33133225200000 is 252233133.

It is an interprime number because it is at equal distance from previous prime (33133225199993) and next prime (33133225200007).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×33133225200000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33133225200007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12605511 + ... + 15005510.

Almost surely, 2^{33133225200000} is an apocalyptic number.

33133225200000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33133225200000 is an abundant number, since it is smaller than the sum of its proper divisors (76872399770640).

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

33133225200000 is an frugal number, since it uses more digits than its factorization.

33133225200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27611063 (or 27611031 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 24.

Adding to 33133225200000 its reverse (252233133), we get a palindrome (33133477433133).

The spelling of 33133225200000 in words is "thirty-three trillion, one hundred thirty-three billion, two hundred twenty-five million, two hundred thousand".