11301111022000 has 80 divisors (see below), whose sum is σ = 27336112876800. Its totient is φ = 4518785779200.

The previous prime is 11301111021983. The next prime is 11301111022001. The reversal of 11301111022000 is 22011110311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×11301111022000² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11301111022001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4422721 + ... + 6493279.

It is an arithmetic number, because the mean of its divisors is an integer number (341701410960).

Almost surely, 2^{11301111022000} is an apocalyptic number.

11301111022000 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 11301111022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13668056438400).

11301111022000 is an abundant number, since it is smaller than the sum of its proper divisors (16035001854800).

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

11301111022000 is a wasteful number, since it uses less digits than its factorization.

11301111022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2073311 (or 2073295 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 11301111022000 its reverse (22011110311), we get a palindrome (11323122132311).

The spelling of 11301111022000 in words is "eleven trillion, three hundred one billion, one hundred eleven million, twenty-two thousand".