112104630261000 has 1536 divisors, whose sum is σ = 432171848908800. Its totient is φ = 27012312345600.

The previous prime is 112104630260981. The next prime is 112104630261109. The reversal of 112104630261000 is 162036401211.

It is a happy number.

112104630261000 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 0 + 4 + 630 + 26 + 1 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 49018201857 + ... + 49018204143.

It is an arithmetic number, because the mean of its divisors is an integer number (281361880800).

Almost surely, 2^{112104630261000} is an apocalyptic number.

112104630261000 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 112104630261000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216085924454400).

112104630261000 is an abundant number, since it is smaller than the sum of its proper divisors (320067218647800).

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

112104630261000 is a wasteful number, since it uses less digits than its factorization.

112104630261000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2658 (or 2632 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 112104630261000 its reverse (162036401211), we get a palindrome (112266666662211).

The spelling of 112104630261000 in words is "one hundred twelve trillion, one hundred four billion, six hundred thirty million, two hundred sixty-one thousand".