11213952 has 128 divisors (see below), whose sum is σ = 33048000. Its totient is φ = 3354624.

The previous prime is 11213843. The next prime is 11213957. The reversal of 11213952 is 25931211.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (11213957) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211558 + ... + 211610.

Almost surely, 2^11213952 is an apocalyptic number.

11213952 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 11213952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16524000).

11213952 is an abundant number, since it is smaller than the sum of its proper divisors (21834048).

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

11213952 is a wasteful number, since it uses less digits than its factorization.

11213952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 106 counting only the distinct ones).

The product of its digits is 540, while the sum is 24.

The square root of 11213952 is about 3348.7239360688. The cubic root of 11213952 is about 223.8306543186.

The spelling of 11213952 in words is "eleven million, two hundred thirteen thousand, nine hundred fifty-two".