120966519744 has 672 divisors, whose sum is σ = 438871620096. Its totient is φ = 32248627200.

The previous prime is 120966519721. The next prime is 120966519799. The reversal of 120966519744 is 447915669021.

120966519744 is a `hidden beast` number, since 1 + 20 + 9 + 66 + 519 + 7 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 301661944 + ... + 301662344.

It is an arithmetic number, because the mean of its divisors is an integer number (653082768).

Almost surely, 2^120966519744 is an apocalyptic number.

120966519744 is a gapful number since it is divisible by the number (14) 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 120966519744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219435810048).

120966519744 is an abundant number, since it is smaller than the sum of its proper divisors (317905100352).

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

120966519744 is a wasteful number, since it uses less digits than its factorization.

120966519744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 120966519744 in words is "one hundred twenty billion, nine hundred sixty-six million, five hundred nineteen thousand, seven hundred forty-four".