11219445120 has 512 divisors, whose sum is σ = 41288849280. Its totient is φ = 2566914048.

The previous prime is 11219445119. The next prime is 11219445143. The reversal of 11219445120 is 2154491211.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58131744 + ... + 58131936.

Almost surely, 2^11219445120 is an apocalyptic number.

11219445120 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 11219445120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20644424640).

11219445120 is an abundant number, since it is smaller than the sum of its proper divisors (30069404160).

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

11219445120 is a wasteful number, since it uses less digits than its factorization.

11219445120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The spelling of 11219445120 in words is "eleven billion, two hundred nineteen million, four hundred forty-five thousand, one hundred twenty".