22723821120 has 1344 divisors, whose sum is σ = 104095881216. Its totient is φ = 4063887360.

The previous prime is 22723821119. The next prime is 22723821121. The reversal of 22723821120 is 2112832722.

It is an interprime number because it is at equal distance from previous prime (22723821119) and next prime (22723821121).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (22723821121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 212372107 + ... + 212372213.

Almost surely, 2^22723821120 is an apocalyptic number.

22723821120 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 22723821120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52047940608).

22723821120 is an abundant number, since it is smaller than the sum of its proper divisors (81372060096).

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

22723821120 is a wasteful number, since it uses less digits than its factorization.

22723821120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The spelling of 22723821120 in words is "twenty-two billion, seven hundred twenty-three million, eight hundred twenty-one thousand, one hundred twenty".