1201123311300 has 216 divisors, whose sum is σ = 4107899577600. Its totient is φ = 291125702400.

The previous prime is 1201123311299. The next prime is 1201123311301. The reversal of 1201123311300 is 31133211021.

1201123311300 is a `hidden beast` number, since 1 + 20 + 1 + 12 + 331 + 1 + 300 = 666.

It is an interprime number because it is at equal distance from previous prime (1201123311299) and next prime (1201123311301).

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

It is not an unprimeable number, because it can be changed into a prime (1201123311301) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 78687469 + ... + 78702731.

It is an arithmetic number, because the mean of its divisors is an integer number (19018053600).

Almost surely, 2^{1201123311300} is an apocalyptic number.

1201123311300 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 1201123311300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2053949788800).

1201123311300 is an abundant number, since it is smaller than the sum of its proper divisors (2906776266300).

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

1201123311300 is a wasteful number, since it uses less digits than its factorization.

1201123311300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23243 (or 23233 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1201123311300 its reverse (31133211021), we get a palindrome (1232256522321).

The spelling of 1201123311300 in words is "one trillion, two hundred one billion, one hundred twenty-three million, three hundred eleven thousand, three hundred".