11210949120 has 480 divisors, whose sum is σ = 43081099776. Its totient is φ = 2479841280.

The previous prime is 11210949109. The next prime is 11210949131. The reversal of 11210949120 is 2194901211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11210949109) and next prime (11210949131).

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 361643505 + ... + 361643535.

Almost surely, 2^11210949120 is an apocalyptic number.

11210949120 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 11210949120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21540549888).

11210949120 is an abundant number, since it is smaller than the sum of its proper divisors (31870150656).

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

11210949120 is an frugal number, since it uses more digits than its factorization.

11210949120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 30.

The spelling of 11210949120 in words is "eleven billion, two hundred ten million, nine hundred forty-nine thousand, one hundred twenty".