22001200233120 has 72 divisors (see below), whose sum is σ = 75079095800436. Its totient is φ = 5866986728448.

The previous prime is 22001200233107. The next prime is 22001200233121. The reversal of 22001200233120 is 2133200210022.

22001200233120 is a `hidden beast` number, since 220 + 0 + 1 + 200 + 233 + 12 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21959383255056 + 41816978064 = 4686084^2 + 204492^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 22001200233093 and 22001200233102.

It is not an unprimeable number, because it can be changed into a prime (22001200233121) 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 11 ways as a sum of consecutive naturals, for example, 7639304197 + ... + 7639307076.

Almost surely, 2^{22001200233120} is an apocalyptic number.

22001200233120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22001200233120 is an abundant number, since it is smaller than the sum of its proper divisors (53077895567316).

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

22001200233120 is a wasteful number, since it uses less digits than its factorization.

22001200233120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15278611294 (or 15278611283 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 22001200233120 its reverse (2133200210022), we get a palindrome (24134400443142).

The spelling of 22001200233120 in words is "twenty-two trillion, one billion, two hundred million, two hundred thirty-three thousand, one hundred twenty".