11234969853120 has 784 divisors, whose sum is σ = 43263350965632. Its totient is φ = 2761288704000.

The previous prime is 11234969853119. The next prime is 11234969853167. The reversal of 11234969853120 is 2135896943211.

11234969853120 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 49 + 69 + 8 + 531 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2277510174 + ... + 2277515106.

Almost surely, 2^{11234969853120} is an apocalyptic number.

11234969853120 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 11234969853120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21631675482816).

11234969853120 is an abundant number, since it is smaller than the sum of its proper divisors (32028381112512).

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

11234969853120 is an equidigital number, since it uses as much as digits as its factorization.

11234969853120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5732 (or 5707 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 11234969853120 in words is "eleven trillion, two hundred thirty-four billion, nine hundred sixty-nine million, eight hundred fifty-three thousand, one hundred twenty".