11970519120 has 320 divisors, whose sum is σ = 47235072000. Its totient is φ = 2729562624.

The previous prime is 11970519101. The next prime is 11970519163. The reversal of 11970519120 is 2191507911.

11970519120 is a `hidden beast` number, since 1 + 19 + 7 + 0 + 519 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9358641 + ... + 9359919.

It is an arithmetic number, because the mean of its divisors is an integer number (147609600).

Almost surely, 2^11970519120 is an apocalyptic number.

11970519120 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 11970519120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23617536000).

11970519120 is an abundant number, since it is smaller than the sum of its proper divisors (35264552880).

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

11970519120 is a wasteful number, since it uses less digits than its factorization.

11970519120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1927 (or 1915 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 36.

The spelling of 11970519120 in words is "eleven billion, nine hundred seventy million, five hundred nineteen thousand, one hundred twenty".