120298763520 has 1008 divisors, whose sum is σ = 477416524032. Its totient is φ = 28844605440.

The previous prime is 120298763477. The next prime is 120298763527. The reversal of 120298763520 is 25367892021.

120298763520 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 9 + 8 + 7 + 635 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120298763527) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 570136215 + ... + 570136425.

It is an arithmetic number, because the mean of its divisors is an integer number (473627504).

Almost surely, 2^120298763520 is an apocalyptic number.

120298763520 is a gapful number since it is divisible by the number (10) 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 120298763520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238708262016).

120298763520 is an abundant number, since it is smaller than the sum of its proper divisors (357117760512).

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

120298763520 is an equidigital number, since it uses as much as digits as its factorization.

120298763520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 120298763520 in words is "one hundred twenty billion, two hundred ninety-eight million, seven hundred sixty-three thousand, five hundred twenty".