11252102144120 has 128 divisors (see below), whose sum is σ = 26575703164800. Its totient is φ = 4283006846976.

The previous prime is 11252102144093. The next prime is 11252102144287. The reversal of 11252102144120 is 2144120125211.

It is a self number, because there is not a number n which added to its sum of digits gives 11252102144120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24639221 + ... + 25091739.

It is an arithmetic number, because the mean of its divisors is an integer number (207622680975).

Almost surely, 2^{11252102144120} is an apocalyptic number.

11252102144120 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 11252102144120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13287851582400).

11252102144120 is an abundant number, since it is smaller than the sum of its proper divisors (15323601020680).

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

11252102144120 is a wasteful number, since it uses less digits than its factorization.

11252102144120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452937 (or 452933 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

Adding to 11252102144120 its reverse (2144120125211), we get a palindrome (13396222269331).

The spelling of 11252102144120 in words is "eleven trillion, two hundred fifty-two billion, one hundred two million, one hundred forty-four thousand, one hundred twenty".