120190294207200 has 576 divisors, whose sum is σ = 453325510310400. Its totient is φ = 27090187223040.

The previous prime is 120190294207031. The next prime is 120190294207201. The reversal of 120190294207200 is 2702492091021.

It is a super-2 number, since 2×120190294207200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120190294207201) 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, 10273546951 + ... + 10273558649.

It is an arithmetic number, because the mean of its divisors is an integer number (787023455400).

Almost surely, 2^{120190294207200} is an apocalyptic number.

120190294207200 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 120190294207200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226662755155200).

120190294207200 is an abundant number, since it is smaller than the sum of its proper divisors (333135216103200).

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

120190294207200 is a wasteful number, since it uses less digits than its factorization.

120190294207200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20179 (or 20166 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The spelling of 120190294207200 in words is "one hundred twenty trillion, one hundred ninety billion, two hundred ninety-four million, two hundred seven thousand, two hundred".