1201123122300 has 216 divisors, whose sum is σ = 3899293398000. Its totient is φ = 308888079360.

The previous prime is 1201123122263. The next prime is 1201123122317. The reversal of 1201123122300 is 32213211021.

1201123122300 is a `hidden beast` number, since 1 + 201 + 1 + 231 + 2 + 230 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22340851 + ... + 22394549.

It is an arithmetic number, because the mean of its divisors is an integer number (18052284250).

Almost surely, 2^{1201123122300} is an apocalyptic number.

1201123122300 is a gapful number since it is divisible by the number (10) 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 1201123122300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1949646699000).

1201123122300 is an abundant number, since it is smaller than the sum of its proper divisors (2698170275700).

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

1201123122300 is a wasteful number, since it uses less digits than its factorization.

1201123122300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54605 (or 54595 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1201123122300 its reverse (32213211021), we get a palindrome (1233336333321).

The spelling of 1201123122300 in words is "one trillion, two hundred one billion, one hundred twenty-three million, one hundred twenty-two thousand, three hundred".