112333220001000 has 768 divisors, whose sum is σ = 401407637117760. Its totient is φ = 28300758220800.

The previous prime is 112333220000959. The next prime is 112333220001017. The reversal of 112333220001000 is 100022333211.

112333220001000 is a `hidden beast` number, since 1 + 12 + 333 + 220 + 0 + 0 + 100 + 0 = 666.

112333220001000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 32 ways, for example, as 525308947524 + 111807911053476 = 724782^2 + 10573926^2 .

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, 1711920192 + ... + 1711985808.

Almost surely, 2^{112333220001000} is an apocalyptic number.

112333220001000 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 112333220001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200703818558880).

112333220001000 is an abundant number, since it is smaller than the sum of its proper divisors (289074417116760).

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

112333220001000 is a wasteful number, since it uses less digits than its factorization.

112333220001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65831 (or 65814 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 112333220001000 its reverse (100022333211), we get a palindrome (112433242334211).

The spelling of 112333220001000 in words is "one hundred twelve trillion, three hundred thirty-three billion, two hundred twenty million, one thousand".