11250102240000 has 4320 divisors, whose sum is σ = 50832571870080. Its totient is φ = 2361655296000.

The previous prime is 11250102239963. The next prime is 11250102240011. The reversal of 11250102240000 is 4220105211.

11250102240000 is a `hidden beast` number, since 1 + 1 + 250 + 10 + 2 + 2 + 400 + 0 + 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 polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 212266079974 + ... + 212266080026.

It is an arithmetic number, because the mean of its divisors is an integer number (11766799044).

Almost surely, 2^{11250102240000} is an apocalyptic number.

11250102240000 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 11250102240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25416285935040).

11250102240000 is an abundant number, since it is smaller than the sum of its proper divisors (39582469630080).

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

11250102240000 is a wasteful number, since it uses less digits than its factorization.

11250102240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 11250102240000 its reverse (4220105211), we get a palindrome (11254322345211).

The spelling of 11250102240000 in words is "eleven trillion, two hundred fifty billion, one hundred two million, two hundred forty thousand".