120771342336 has 416 divisors, whose sum is σ = 356682009600. Its totient is φ = 36186357760.

The previous prime is 120771342323. The next prime is 120771342337. The reversal of 120771342336 is 633243177021.

It is a junction number, because it is equal to n+sod(n) for n = 120771342294 and 120771342303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120771342337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 505319305 + ... + 505319543.

Almost surely, 2^120771342336 is an apocalyptic number.

120771342336 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 120771342336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178341004800).

120771342336 is an abundant number, since it is smaller than the sum of its proper divisors (235910667264).

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

120771342336 is a wasteful number, since it uses less digits than its factorization.

120771342336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 39.

The spelling of 120771342336 in words is "one hundred twenty billion, seven hundred seventy-one million, three hundred forty-two thousand, three hundred thirty-six".