120771630 has 96 divisors (see below), whose sum is σ = 365736384. Its totient is φ = 27076608.

The previous prime is 120771613. The next prime is 120771641. The reversal of 120771630 is 36177021.

120771630 is a `hidden beast` number, since 1 + 20 + 7 + 7 + 1 + 630 = 666.

It is a super-2 number, since 2×120771630² = 29171573225713800, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 120771594 and 120771603.

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, 31582 + ... + 35198.

It is an arithmetic number, because the mean of its divisors is an integer number (3809754).

Almost surely, 2^120771630 is an apocalyptic number.

120771630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120771630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182868192).

120771630 is an abundant number, since it is smaller than the sum of its proper divisors (244964754).

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

120771630 is a wasteful number, since it uses less digits than its factorization.

120771630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3690 (or 3687 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 120771630 is about 10989.6146429254. The cubic root of 120771630 is about 494.2973808679.

The spelling of 120771630 in words is "one hundred twenty million, seven hundred seventy-one thousand, six hundred thirty".