121012211112120 has 192 divisors, whose sum is σ = 397737440755200. Its totient is φ = 31905972161280.

The previous prime is 121012211112071. The next prime is 121012211112161. The reversal of 121012211112120 is 21211112210121.

It is a happy number.

121012211112120 is a `hidden beast` number, since 1 + 210 + 1 + 221 + 1 + 112 + 120 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 121012211112093 and 121012211112102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20811471 + ... + 25983489.

It is an arithmetic number, because the mean of its divisors is an integer number (2071549170600).

Almost surely, 2^{121012211112120} is an apocalyptic number.

121012211112120 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 121012211112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198868720377600).

121012211112120 is an abundant number, since it is smaller than the sum of its proper divisors (276725229643080).

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

121012211112120 is a wasteful number, since it uses less digits than its factorization.

121012211112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5172770 (or 5172763 counting only the distinct ones).

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

Adding to 121012211112120 its reverse (21211112210121), we get a palindrome (142223323322241).

The spelling of 121012211112120 in words is "one hundred twenty-one trillion, twelve billion, two hundred eleven million, one hundred twelve thousand, one hundred twenty".