11121009457300 has 72 divisors (see below), whose sum is σ = 25786578537720. Its totient is φ = 4148322508800.

The previous prime is 11121009457297. The next prime is 11121009457301. The reversal of 11121009457300 is 375490012111.

It is a happy number.

11121009457300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 2137525872784 + 8983483584516 = 1462028^2 + 2997246^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11121009457301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29822821 + ... + 30193420.

It is an arithmetic number, because the mean of its divisors is an integer number (358146924135).

Almost surely, 2^{11121009457300} is an apocalyptic number.

11121009457300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11121009457300 is an abundant number, since it is smaller than the sum of its proper divisors (14665569080420).

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

11121009457300 is a wasteful number, since it uses less digits than its factorization.

11121009457300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60016381 (or 60016374 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 34.

Adding to 11121009457300 its reverse (375490012111), we get a palindrome (11496499469411).

The spelling of 11121009457300 in words is "eleven trillion, one hundred twenty-one billion, nine million, four hundred fifty-seven thousand, three hundred".