120214062003840 has 512 divisors, whose sum is σ = 446948554752000. Its totient is φ = 27472045805568.

The previous prime is 120214062003817. The next prime is 120214062003941. The reversal of 120214062003840 is 48300260412021.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3982297227 + ... + 3982327413.

It is an arithmetic number, because the mean of its divisors is an integer number (872946396000).

Almost surely, 2^{120214062003840} is an apocalyptic number.

120214062003840 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 120214062003840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223474277376000).

120214062003840 is an abundant number, since it is smaller than the sum of its proper divisors (326734492748160).

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

120214062003840 is an equidigital number, since it uses as much as digits as its factorization.

120214062003840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36277 (or 36251 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 120214062003840 in words is "one hundred twenty trillion, two hundred fourteen billion, sixty-two million, three thousand, eight hundred forty".