121406112 has 144 divisors (see below), whose sum is σ = 370260072. Its totient is φ = 37601280.

The previous prime is 121406101. The next prime is 121406113. The reversal of 121406112 is 211604121.

121406112 is a `hidden beast` number, since 12 + 1 + 40 + 611 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 89189136 + 32216976 = 9444^2 + 5676^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 (121406113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 670662 + ... + 670842.

Almost surely, 2^121406112 is an apocalyptic number.

121406112 is a gapful number since it is divisible by the number (12) 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 121406112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185130036).

121406112 is an abundant number, since it is smaller than the sum of its proper divisors (248853960).

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

121406112 is a wasteful number, since it uses less digits than its factorization.

121406112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 121406112 is about 11018.4441732942. Note that the first 3 decimals coincide. The cubic root of 121406112 is about 495.1614777734.

The spelling of 121406112 in words is "one hundred twenty-one million, four hundred six thousand, one hundred twelve".