120416841216 has 480 divisors, whose sum is σ = 416130865920. Its totient is φ = 33679466496.

The previous prime is 120416841203. The next prime is 120416841239. The reversal of 120416841216 is 612148614021.

120416841216 is a `hidden beast` number, since 1 + 20 + 416 + 8 + 4 + 1 + 216 = 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 47 ways as a sum of consecutive naturals, for example, 271821091 + ... + 271821533.

It is an arithmetic number, because the mean of its divisors is an integer number (866939304).

Almost surely, 2^120416841216 is an apocalyptic number.

120416841216 is a gapful number since it is divisible by the number (16) 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 120416841216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208065432960).

120416841216 is an abundant number, since it is smaller than the sum of its proper divisors (295714024704).

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

120416841216 is an frugal number, since it uses more digits than its factorization.

120416841216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 120416841216 in words is "one hundred twenty billion, four hundred sixteen million, eight hundred forty-one thousand, two hundred sixteen".