11970105600 has 216 divisors, whose sum is σ = 39823006720. Its totient is φ = 3166248960.

The previous prime is 11970105599. The next prime is 11970105601. The reversal of 11970105600 is 650107911.

It is an interprime number because it is at equal distance from previous prime (11970105599) and next prime (11970105601).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (11970105601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2435946 + ... + 2440854.

Almost surely, 2^11970105600 is an apocalyptic number.

11970105600 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 11970105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19911503360).

11970105600 is an abundant number, since it is smaller than the sum of its proper divisors (27852901120).

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

11970105600 is a wasteful number, since it uses less digits than its factorization.

11970105600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5065 (or 5046 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 30.

The spelling of 11970105600 in words is "eleven billion, nine hundred seventy million, one hundred five thousand, six hundred".