111965802120 has 256 divisors, whose sum is σ = 384369696000. Its totient is φ = 28970016768.

The previous prime is 111965802079. The next prime is 111965802131. The reversal of 111965802120 is 21208569111.

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

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, 15141144 + ... + 15148536.

It is an arithmetic number, because the mean of its divisors is an integer number (1501444125).

Almost surely, 2^111965802120 is an apocalyptic number.

111965802120 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 111965802120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192184848000).

111965802120 is an abundant number, since it is smaller than the sum of its proper divisors (272403893880).

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

111965802120 is a wasteful number, since it uses less digits than its factorization.

111965802120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7829 (or 7819 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The spelling of 111965802120 in words is "one hundred eleven billion, nine hundred sixty-five million, eight hundred two thousand, one hundred twenty".