120389068800 has 2880 divisors, whose sum is σ = 619329110400. Its totient is φ = 22295347200.

The previous prime is 120389068753. The next prime is 120389068831. The reversal of 120389068800 is 8860983021.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×120389068800² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4151347186 + ... + 4151347214.

It is an arithmetic number, because the mean of its divisors is an integer number (215044830).

Almost surely, 2^120389068800 is an apocalyptic number.

120389068800 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 120389068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309664555200).

120389068800 is an abundant number, since it is smaller than the sum of its proper divisors (498940041600).

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

120389068800 is a wasteful number, since it uses less digits than its factorization.

120389068800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 120389068800 in words is "one hundred twenty billion, three hundred eighty-nine million, sixty-eight thousand, eight hundred".