120941236416 has 448 divisors, whose sum is σ = 435737788416. Its totient is φ = 28585267200.

The previous prime is 120941236391. The next prime is 120941236439. The reversal of 120941236416 is 614632149021.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 13641201 + ... + 13650063.

It is an arithmetic number, because the mean of its divisors is an integer number (972628992).

Almost surely, 2^120941236416 is an apocalyptic number.

120941236416 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 120941236416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217868894208).

120941236416 is an abundant number, since it is smaller than the sum of its proper divisors (314796552000).

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

120941236416 is a wasteful number, since it uses less digits than its factorization.

120941236416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8980 (or 8970 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 120941236416 in words is "one hundred twenty billion, nine hundred forty-one million, two hundred thirty-six thousand, four hundred sixteen".