11970120 has 64 divisors (see below), whose sum is σ = 37480320. Its totient is φ = 3052544.

The previous prime is 11970113. The next prime is 11970121. The reversal of 11970120 is 2107911.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11970121) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 592 + ... + 4928.

It is an arithmetic number, because the mean of its divisors is an integer number (585630).

Almost surely, 2^11970120 is an apocalyptic number.

11970120 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 11970120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18740160).

11970120 is an abundant number, since it is smaller than the sum of its proper divisors (25510200).

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

11970120 is a wasteful number, since it uses less digits than its factorization.

11970120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4374 (or 4370 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 21.

The square root of 11970120 is about 3459.7861205572. The cubic root of 11970120 is about 228.7526680091.

It can be divided in two parts, 11970 and 120, that added together give a triangular number (12090 = T₁₅₅).

The spelling of 11970120 in words is "eleven million, nine hundred seventy thousand, one hundred twenty".