22015200033200 has 120 divisors (see below), whose sum is σ = 57707568346800. Its totient is φ = 8004454732800.

The previous prime is 22015200033173. The next prime is 22015200033311. The reversal of 22015200033200 is 233000251022.

It is a super-2 number, since 2×22015200033200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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, 32884202 + ... + 33546998.

It is an arithmetic number, because the mean of its divisors is an integer number (480896402890).

Almost surely, 2^{22015200033200} is an apocalyptic number.

22015200033200 is a gapful number since it is divisible by the number (20) 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 22015200033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28853784173400).

22015200033200 is an abundant number, since it is smaller than the sum of its proper divisors (35692368313600).

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

22015200033200 is a wasteful number, since it uses less digits than its factorization.

22015200033200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670375 (or 670364 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 22015200033200 its reverse (233000251022), we get a palindrome (22248200284222).

The spelling of 22015200033200 in words is "twenty-two trillion, fifteen billion, two hundred million, thirty-three thousand, two hundred".