121112120232000 has 1344 divisors, whose sum is σ = 467788598746560. Its totient is φ = 29847207936000.

The previous prime is 121112120231891. The next prime is 121112120232023. The reversal of 121112120232000 is 232021211121.

121112120232000 is a `hidden beast` number, since 1 + 21 + 1 + 121 + 202 + 320 + 0 + 0 = 666.

It can be written as a sum of positive squares in 32 ways, for example, as 107131939407936 + 13980180824064 = 10350456^2 + 3739008^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4537210654 + ... + 4537237346.

It is an arithmetic number, because the mean of its divisors is an integer number (348056993115).

Almost surely, 2^{121112120232000} is an apocalyptic number.

121112120232000 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 121112120232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233894299373280).

121112120232000 is an abundant number, since it is smaller than the sum of its proper divisors (346676478514560).

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

121112120232000 is a wasteful number, since it uses less digits than its factorization.

121112120232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26849 (or 26826 counting only the distinct ones).

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

Adding to 121112120232000 its reverse (232021211121), we get a palindrome (121344141443121).

The spelling of 121112120232000 in words is "one hundred twenty-one trillion, one hundred twelve billion, one hundred twenty million, two hundred thirty-two thousand".