20132230122000 has 240 divisors, whose sum is σ = 70345352691120. Its totient is φ = 5366290176000.

The previous prime is 20132230121987. The next prime is 20132230122031. The reversal of 20132230122000 is 22103223102.

20132230122000 is a `hidden beast` number, since 20 + 1 + 322 + 301 + 2 + 20 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9835524634896 + 10296705487104 = 3136164^2 + 3208848^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41899116 + ... + 42376884.

It is an arithmetic number, because the mean of its divisors is an integer number (293105636213).

Almost surely, 2^{20132230122000} is an apocalyptic number.

20132230122000 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 20132230122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35172676345560).

20132230122000 is an abundant number, since it is smaller than the sum of its proper divisors (50213122569120).

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

20132230122000 is a wasteful number, since it uses less digits than its factorization.

20132230122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480139 (or 480120 counting only the distinct ones).

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

Adding to 20132230122000 its reverse (22103223102), we get a palindrome (20154333345102).

The spelling of 20132230122000 in words is "twenty trillion, one hundred thirty-two billion, two hundred thirty million, one hundred twenty-two thousand".