1121952 has 96 divisors (see below), whose sum is σ = 3386880. Its totient is φ = 322560.

The previous prime is 1121947. The next prime is 1121987. The reversal of 1121952 is 2591211.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36177 + ... + 36207.

It is an arithmetic number, because the mean of its divisors is an integer number (35280).

2^1121952 is an apocalyptic number.

1121952 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 1121952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1693440).

1121952 is an abundant number, since it is smaller than the sum of its proper divisors (2264928).

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

1121952 is a wasteful number, since it uses less digits than its factorization.

1121952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 78 counting only the distinct ones).

The product of its digits is 180, while the sum is 21.

The square root of 1121952 is about 1059.2223562595. Note that the first 3 decimals coincide. The cubic root of 1121952 is about 103.9101788572.

The spelling of 1121952 in words is "one million, one hundred twenty-one thousand, nine hundred fifty-two".