11121131261250 has 240 divisors, whose sum is σ = 30575413810656. Its totient is φ = 2919850560000.

The previous prime is 11121131261159. The next prime is 11121131261281. The reversal of 11121131261250 is 5216213112111.

11121131261250 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 11 + 31 + 2 + 612 + 5 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2834851789 + ... + 2834855711.

Almost surely, 2^{11121131261250} is an apocalyptic number.

11121131261250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11121131261250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15287706905328).

11121131261250 is an abundant number, since it is smaller than the sum of its proper divisors (19454282549406).

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

11121131261250 is a wasteful number, since it uses less digits than its factorization.

11121131261250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7779 (or 7761 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

Adding to 11121131261250 its reverse (5216213112111), we get a palindrome (16337344373361).

The spelling of 11121131261250 in words is "eleven trillion, one hundred twenty-one billion, one hundred thirty-one million, two hundred sixty-one thousand, two hundred fifty".