1022120233200 has 720 divisors, whose sum is σ = 4149195148800. Its totient is φ = 230247014400.

The previous prime is 1022120233153. The next prime is 1022120233201. The reversal of 1022120233200 is 23320212201.

1022120233200 is a `hidden beast` number, since 10 + 221 + 2 + 0 + 233 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×1022120233200³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (1022120233201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 53173191 + ... + 53192409.

It is an arithmetic number, because the mean of its divisors is an integer number (5762771040).

Almost surely, 2^{1022120233200} is an apocalyptic number.

1022120233200 is a gapful number since it is divisible by the number (10) 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 1022120233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2074597574400).

1022120233200 is an abundant number, since it is smaller than the sum of its proper divisors (3127074915600).

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

1022120233200 is a wasteful number, since it uses less digits than its factorization.

1022120233200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19350 (or 19336 counting only the distinct ones).

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

Adding to 1022120233200 its reverse (23320212201), we get a palindrome (1045440445401).

It can be divided in two parts, 1022120 and 233200, that added together give a triangular number (1255320 = T₁₅₈₄).

The spelling of 1022120233200 in words is "one trillion, twenty-two billion, one hundred twenty million, two hundred thirty-three thousand, two hundred".