1011331123200 has 864 divisors, whose sum is σ = 3883054593600. Its totient is φ = 250893434880.

The previous prime is 1011331123171. The next prime is 1011331123211. The reversal of 1011331123200 is 23211331101.

1011331123200 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 331 + 12 + 320 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 392139511 + ... + 392142089.

It is an arithmetic number, because the mean of its divisors is an integer number (4494276150).

Almost surely, 2^{1011331123200} is an apocalyptic number.

1011331123200 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 1011331123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1941527296800).

1011331123200 is an abundant number, since it is smaller than the sum of its proper divisors (2871723470400).

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

1011331123200 is a wasteful number, since it uses less digits than its factorization.

1011331123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2677 (or 2649 counting only the distinct ones).

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

Adding to 1011331123200 its reverse (23211331101), we get a palindrome (1034542454301).

The spelling of 1011331123200 in words is "one trillion, eleven billion, three hundred thirty-one million, one hundred twenty-three thousand, two hundred".