22152312000 has 1792 divisors, whose sum is σ = 106509312000. Its totient is φ = 4470681600.

The previous prime is 22152311999. The next prime is 22152312001. The reversal of 22152312000 is 21325122.

22152312000 is a `hidden beast` number, since 2 + 21 + 523 + 120 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (22152311999) and next prime (22152312001).

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

It is not an unprimeable number, because it can be changed into a prime (22152312001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 963143989 + ... + 963144011.

It is an arithmetic number, because the mean of its divisors is an integer number (59436000).

Almost surely, 2^22152312000 is an apocalyptic number.

22152312000 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 22152312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53254656000).

22152312000 is an abundant number, since it is smaller than the sum of its proper divisors (84357000000).

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

22152312000 is a wasteful number, since it uses less digits than its factorization.

22152312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 22152312000 its reverse (21325122), we get a palindrome (22173637122).

The spelling of 22152312000 in words is "twenty-two billion, one hundred fifty-two million, three hundred twelve thousand".