112333211010000 has 600 divisors, whose sum is σ = 407458812024264. Its totient is φ = 28857254400000.

The previous prime is 112333211009989. The next prime is 112333211010029. The reversal of 112333211010000 is 10112333211.

112333211010000 is a `hidden beast` number, since 1 + 1 + 233 + 321 + 10 + 100 + 0 + 0 = 666.

It can be written as a sum of positive squares in 20 ways, for example, as 73365803067456 + 38967407942544 = 8565384^2 + 6242388^2 .

It is a tau number, because it is divible by the number of its divisors (600).

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 119 ways as a sum of consecutive naturals, for example, 336163002 + ... + 336496998.

Almost surely, 2^{112333211010000} is an apocalyptic number.

112333211010000 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 112333211010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203729406012132).

112333211010000 is an abundant number, since it is smaller than the sum of its proper divisors (295125601014264).

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

112333211010000 is a wasteful number, since it uses less digits than its factorization.

112333211010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334169 (or 334145 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 112333211010000 its reverse (10112333211), we get a palindrome (112343323343211).

The spelling of 112333211010000 in words is "one hundred twelve trillion, three hundred thirty-three billion, two hundred eleven million, ten thousand".