120112123200 has 336 divisors, whose sum is σ = 411390169344. Its totient is φ = 30650572800.

The previous prime is 120112123181. The next prime is 120112123211. The reversal of 120112123200 is 2321211021.

It is a super-2 number, since 2×120112123200² (a number of 23 digits) contains 22 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 120112123200.

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, 10828057 + ... + 10839143.

It is an arithmetic number, because the mean of its divisors is an integer number (1224375504).

Almost surely, 2^120112123200 is an apocalyptic number.

120112123200 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 120112123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205695084672).

120112123200 is an abundant number, since it is smaller than the sum of its proper divisors (291278046144).

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

120112123200 is a wasteful number, since it uses less digits than its factorization.

120112123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11210 (or 11195 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 120112123200 its reverse (2321211021), we get a palindrome (122433334221).

It can be divided in two parts, 12011 and 2123200, that added together give a triangular number (2135211 = T₂₀₆₆).

The spelling of 120112123200 in words is "one hundred twenty billion, one hundred twelve million, one hundred twenty-three thousand, two hundred".