22323144030000 has 400 divisors, whose sum is σ = 78788792016000. Its totient is φ = 5399582720000.

The previous prime is 22323144029983. The next prime is 22323144030053. The reversal of 22323144030000 is 3044132322.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-3 number, since 3×22323144030000³ (a number of 41 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 148094671 + ... + 148245329.

It is an arithmetic number, because the mean of its divisors is an integer number (196971980040).

Almost surely, 2^{22323144030000} is an apocalyptic number.

22323144030000 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 22323144030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39394396008000).

22323144030000 is an abundant number, since it is smaller than the sum of its proper divisors (56465647986000).

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

22323144030000 is a wasteful number, since it uses less digits than its factorization.

22323144030000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151150 (or 151129 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 22323144030000 its reverse (3044132322), we get a palindrome (22326188162322).

The spelling of 22323144030000 in words is "twenty-two trillion, three hundred twenty-three billion, one hundred forty-four million, thirty thousand".