1200112121232 has 180 divisors, whose sum is σ = 3456117739620. Its totient is φ = 388747247616.

The previous prime is 1200112121213. The next prime is 1200112121303. The reversal of 1200112121232 is 2321212110021.

1200112121232 is a `hidden beast` number, since 1 + 200 + 112 + 121 + 232 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3004793856 + 1197107327376 = 54816^2 + 1094124^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 183136068 + ... + 183142620.

It is an arithmetic number, because the mean of its divisors is an integer number (19200654109).

Almost surely, 2^{1200112121232} is an apocalyptic number.

1200112121232 is a gapful number since it is divisible by the number (12) 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 1200112121232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728058869810).

1200112121232 is an abundant number, since it is smaller than the sum of its proper divisors (2256005618388).

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

1200112121232 is a wasteful number, since it uses less digits than its factorization.

1200112121232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7570 (or 7524 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1200112121232 its reverse (2321212110021), we get a palindrome (3521324231253).

The spelling of 1200112121232 in words is "one trillion, two hundred billion, one hundred twelve million, one hundred twenty-one thousand, two hundred thirty-two".