120945420288 has 864 divisors, whose sum is σ = 449511229440. Its totient is φ = 30656102400.

The previous prime is 120945420251. The next prime is 120945420293. The reversal of 120945420288 is 882024549021.

120945420288 is a `hidden beast` number, since 1 + 20 + 9 + 4 + 542 + 0 + 2 + 88 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 952326081 + ... + 952326207.

Almost surely, 2^120945420288 is an apocalyptic number.

120945420288 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 120945420288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224755614720).

120945420288 is an abundant number, since it is smaller than the sum of its proper divisors (328565809152).

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

120945420288 is a wasteful number, since it uses less digits than its factorization.

120945420288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 120945420288 in words is "one hundred twenty billion, nine hundred forty-five million, four hundred twenty thousand, two hundred eighty-eight".