120112121122000 has 240 divisors, whose sum is σ = 341193494874960. Its totient is φ = 40773559680000.

The previous prime is 120112121121977. The next prime is 120112121122051. The reversal of 120112121122000 is 221121211021.

It can be written as a sum of positive squares in 8 ways, for example, as 20333678266944 + 99778442855056 = 4509288^2 + 9988916^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3830506 + ... + 15965494.

It is an arithmetic number, because the mean of its divisors is an integer number (1421639561979).

Almost surely, 2^{120112121122000} is an apocalyptic number.

120112121122000 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 120112121122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170596747437480).

120112121122000 is an abundant number, since it is smaller than the sum of its proper divisors (221081373752960).

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

120112121122000 is a wasteful number, since it uses less digits than its factorization.

120112121122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12135127 (or 12135104 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 120112121122000 its reverse (221121211021), we get a palindrome (120333242333021).

The spelling of 120112121122000 in words is "one hundred twenty trillion, one hundred twelve billion, one hundred twenty-one million, one hundred twenty-two thousand".