11952720 has 120 divisors (see below), whose sum is σ = 43262856. Its totient is φ = 2939904.

The previous prime is 11952713. The next prime is 11952737. The reversal of 11952720 is 2725911.

11952720 = T₆₅ + T₆₆ + ... + T₄₁₅.

11952720 is a `hidden beast` number, since 119 + 527 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 501264 + 11451456 = 708^2 + 3384^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-4 number, since 4×11952720⁴ (a number of 29 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8722 + ... + 9998.

Almost surely, 2^11952720 is an apocalyptic number.

11952720 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 11952720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21631428).

11952720 is an abundant number, since it is smaller than the sum of its proper divisors (31310136).

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

11952720 is a wasteful number, since it uses less digits than its factorization.

11952720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 11952720 is about 3457.2705997651. The cubic root of 11952720 is about 228.6417744788.

The spelling of 11952720 in words is "eleven million, nine hundred fifty-two thousand, seven hundred twenty".