201300123200022 has 384 divisors, whose sum is σ = 558247741489152. Its totient is φ = 50902015852800.

The previous prime is 201300123200017. The next prime is 201300123200089. The reversal of 201300123200022 is 220002321003102.

201300123200022 is a `hidden beast` number, since 20 + 1 + 300 + 1 + 2 + 320 + 0 + 0 + 22 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 201300123199968 and 201300123200004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 61881376548 + ... + 61881379800.

It is an arithmetic number, because the mean of its divisors is an integer number (1453770160128).

Almost surely, 2^{201300123200022} is an apocalyptic number.

201300123200022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 201300123200022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279123870744576).

201300123200022 is an abundant number, since it is smaller than the sum of its proper divisors (356947618289130).

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

201300123200022 is a wasteful number, since it uses less digits than its factorization.

201300123200022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6416 (or 6413 counting only the distinct ones).

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

Adding to 201300123200022 its reverse (220002321003102), we get a palindrome (421302444203124).

The spelling of 201300123200022 in words is "two hundred one trillion, three hundred billion, one hundred twenty-three million, two hundred thousand, twenty-two".