11212992 has 168 divisors, whose sum is σ = 38461696. Its totient is φ = 3172608.

The previous prime is 11212987. The next prime is 11212997. The reversal of 11212992 is 29921211.

It is an interprime number because it is at equal distance from previous prime (11212987) and next prime (11212997).

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (11212997) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108813 + ... + 108915.

Almost surely, 2^11212992 is an apocalyptic number.

11212992 is a gapful number since it is divisible by the number (12) 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 11212992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19230848).

11212992 is an abundant number, since it is smaller than the sum of its proper divisors (27248704).

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

11212992 is an equidigital number, since it uses as much as digits as its factorization.

11212992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 115 counting only the distinct ones).

The product of its digits is 648, while the sum is 27.

The square root of 11212992 is about 3348.5805948192. The cubic root of 11212992 is about 223.8242669314.

The spelling of 11212992 in words is "eleven million, two hundred twelve thousand, nine hundred ninety-two".