22000306416000 has 1024 divisors, whose sum is σ = 84581623526400. Its totient is φ = 5002444800000.

The previous prime is 22000306415999. The next prime is 22000306416007. The reversal of 22000306416000 is 61460300022.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22000306416007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1013221144 + ... + 1013242856.

It is an arithmetic number, because the mean of its divisors is an integer number (82599241725).

Almost surely, 2^{22000306416000} is an apocalyptic number.

22000306416000 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 22000306416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42290811763200).

22000306416000 is an abundant number, since it is smaller than the sum of its proper divisors (62581317110400).

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

22000306416000 is a wasteful number, since it uses less digits than its factorization.

22000306416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21876 (or 21854 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 22000306416000 its reverse (61460300022), we get a palindrome (22061766716022).

The spelling of 22000306416000 in words is "twenty-two trillion, three hundred six million, four hundred sixteen thousand".