120208272000 has 256 divisors, whose sum is σ = 399072960000. Its totient is φ = 32008704000.

The previous prime is 120208271917. The next prime is 120208272013. The reversal of 120208272000 is 272802021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43726626 + ... + 43729374.

It is an arithmetic number, because the mean of its divisors is an integer number (1558878750).

Almost surely, 2^120208272000 is an apocalyptic number.

120208272000 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 120208272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199536480000).

120208272000 is an abundant number, since it is smaller than the sum of its proper divisors (278864688000).

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

120208272000 is an equidigital number, since it uses as much as digits as its factorization.

120208272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3692 (or 3670 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The spelling of 120208272000 in words is "one hundred twenty billion, two hundred eight million, two hundred seventy-two thousand".