121065242112 has 320 divisors, whose sum is σ = 380654208000. Its totient is φ = 37883510784.

The previous prime is 121065242107. The next prime is 121065242113. The reversal of 121065242112 is 211242560121.

It is a happy number.

121065242112 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 652 + 4 + 2 + 1 + 1 + 2 = 666.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121065242113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29678089 + ... + 29682167.

It is an arithmetic number, because the mean of its divisors is an integer number (1189544400).

Almost surely, 2^121065242112 is an apocalyptic number.

121065242112 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 121065242112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190327104000).

121065242112 is an abundant number, since it is smaller than the sum of its proper divisors (259588965888).

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

121065242112 is a wasteful number, since it uses less digits than its factorization.

121065242112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4238 (or 4216 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 121065242112 in words is "one hundred twenty-one billion, sixty-five million, two hundred forty-two thousand, one hundred twelve".