120610945728 has 1344 divisors, whose sum is σ = 479974656000. Its totient is φ = 29346250752.

The previous prime is 120610945727. The next prime is 120610945769. The reversal of 120610945728 is 827549016021.

120610945728 is a `hidden beast` number, since 1 + 2 + 0 + 610 + 9 + 4 + 5 + 7 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×120610945728² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120610945727) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1526720793 + ... + 1526720871.

It is an arithmetic number, because the mean of its divisors is an integer number (357124000).

Almost surely, 2^120610945728 is an apocalyptic number.

120610945728 is a gapful number since it is divisible by the number (18) 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 120610945728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239987328000).

120610945728 is an abundant number, since it is smaller than the sum of its proper divisors (359363710272).

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

120610945728 is a wasteful number, since it uses less digits than its factorization.

120610945728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 120610945728 in words is "one hundred twenty billion, six hundred ten million, nine hundred forty-five thousand, seven hundred twenty-eight".