112221135153000 has 576 divisors, whose sum is σ = 394080361131600. Its totient is φ = 29910125836800.

The previous prime is 112221135152999. The next prime is 112221135153007. The reversal of 112221135153000 is 351531122211.

112221135153000 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 2 + 1 + 1 + 351 + 5 + 300 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2303650057284 + 109917485095716 = 1517778^2 + 10484154^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (112221135153007) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18613553986 + ... + 18613560014.

Almost surely, 2^{112221135153000} is an apocalyptic number.

112221135153000 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 112221135153000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197040180565800).

112221135153000 is an abundant number, since it is smaller than the sum of its proper divisors (281859225978600).

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

112221135153000 is an frugal number, since it uses more digits than its factorization.

112221135153000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8911 (or 8876 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 112221135153000 its reverse (351531122211), we get a palindrome (112572666275211).

The spelling of 112221135153000 in words is "one hundred twelve trillion, two hundred twenty-one billion, one hundred thirty-five million, one hundred fifty-three thousand".