120954303360 has 768 divisors, whose sum is σ = 472397365440. Its totient is φ = 28262400000.

The previous prime is 120954303347. The next prime is 120954303361. The reversal of 120954303360 is 63303459021.

It is a happy number.

120954303360 is a `hidden beast` number, since 1 + 20 + 9 + 543 + 0 + 33 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120954303361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 262373530 + ... + 262373990.

Almost surely, 2^120954303360 is an apocalyptic number.

120954303360 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 120954303360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236198682720).

120954303360 is an abundant number, since it is smaller than the sum of its proper divisors (351443062080).

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

120954303360 is a wasteful number, since it uses less digits than its factorization.

120954303360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 120954303360 in words is "one hundred twenty billion, nine hundred fifty-four million, three hundred three thousand, three hundred sixty".