120112201101120 has 224 divisors, whose sum is σ = 384527367835776. Its totient is φ = 31764659404800.

The previous prime is 120112201101091. The next prime is 120112201101133. The reversal of 120112201101120 is 21101102211021.

It is a happy number.

It is a super-3 number, since 3×120112201101120³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 120112201101120.

It is a congruent number.

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, 55864252 + ... + 57974468.

Almost surely, 2^{120112201101120} is an apocalyptic number.

120112201101120 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 120112201101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192263683917888).

120112201101120 is an abundant number, since it is smaller than the sum of its proper divisors (264415166734656).

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

120112201101120 is a wasteful number, since it uses less digits than its factorization.

120112201101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2110729 (or 2110719 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 120112201101120 its reverse (21101102211021), we get a palindrome (141213303312141).

The spelling of 120112201101120 in words is "one hundred twenty trillion, one hundred twelve billion, two hundred one million, one hundred one thousand, one hundred twenty".