112121211212010 has 768 divisors, whose sum is σ = 409568706892800. Its totient is φ = 20529695047680.

The previous prime is 112121211211921. The next prime is 112121211212011. The reversal of 112121211212010 is 10212112121211.

It is a happy number.

112121211212010 is a `hidden beast` number, since 11 + 212 + 121 + 121 + 201 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (112121211212011) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 176349166 + ... + 176983814.

It is an arithmetic number, because the mean of its divisors is an integer number (533292587100).

Almost surely, 2^{112121211212010} is an apocalyptic number.

112121211212010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112121211212010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204784353446400).

112121211212010 is an abundant number, since it is smaller than the sum of its proper divisors (297447495680790).

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

112121211212010 is a wasteful number, since it uses less digits than its factorization.

112121211212010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634783 (or 634780 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 112121211212010 its reverse (10212112121211), we get a palindrome (122333323333221).

The spelling of 112121211212010 in words is "one hundred twelve trillion, one hundred twenty-one billion, two hundred eleven million, two hundred twelve thousand, ten".