120112121012000 has 192 divisors, whose sum is σ = 320629224805344. Its totient is φ = 43956618854400.

The previous prime is 120112121011997. The next prime is 120112121012029. The reversal of 120112121012000 is 210121211021.

120112121012000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 35479701642256 + 84632419369744 = 5956484^2 + 9199588^2 .

It is a super-2 number, since 2×120112121012000² (a number of 29 digits) contains 22 as substring.

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, 4344569 + ... + 16096568.

Almost surely, 2^{120112121012000} is an apocalyptic number.

120112121012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120112121012000 is an abundant number, since it is smaller than the sum of its proper divisors (200517103793344).

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

120112121012000 is a wasteful number, since it uses less digits than its factorization.

120112121012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20441288 (or 20441270 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 120112121012000 its reverse (210121211021), we get a palindrome (120322242223021).

The spelling of 120112121012000 in words is "one hundred twenty trillion, one hundred twelve billion, one hundred twenty-one million, twelve thousand".