112210121001000 has 1024 divisors, whose sum is σ = 424158131404800. Its totient is φ = 24380135424000.

The previous prime is 112210121000981. The next prime is 112210121001023. The reversal of 112210121001000 is 100121012211.

It is a super-2 number, since 2×112210121001000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 975521491 + ... + 975636509.

It is an arithmetic number, because the mean of its divisors is an integer number (414216925200).

Almost surely, 2^{112210121001000} is an apocalyptic number.

112210121001000 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 112210121001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212079065702400).

112210121001000 is an abundant number, since it is smaller than the sum of its proper divisors (311948010403800).

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

112210121001000 is a wasteful number, since it uses less digits than its factorization.

112210121001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115155 (or 115141 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 112210121001000 its reverse (100121012211), we get a palindrome (112310242013211).

The spelling of 112210121001000 in words is "one hundred twelve trillion, two hundred ten billion, one hundred twenty-one million, one thousand".