121222021101012 has 144 divisors (see below), whose sum is σ = 341058279744000. Its totient is φ = 36051375801600.

The previous prime is 121222021101001. The next prime is 121222021101019. The reversal of 121222021101012 is 210101120222121.

121222021101012 is a `hidden beast` number, since 1 + 212 + 220 + 211 + 0 + 10 + 12 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121222021101019) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6614614 + ... + 16917362.

It is an arithmetic number, because the mean of its divisors is an integer number (2368460276000).

Almost surely, 2^{121222021101012} is an apocalyptic number.

121222021101012 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 121222021101012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170529139872000).

121222021101012 is an abundant number, since it is smaller than the sum of its proper divisors (219836258642988).

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

121222021101012 is a wasteful number, since it uses less digits than its factorization.

121222021101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10303614 (or 10303609 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 121222021101012 its reverse (210101120222121), we get a palindrome (331323141323133).

The spelling of 121222021101012 in words is "one hundred twenty-one trillion, two hundred twenty-two billion, twenty-one million, one hundred one thousand, twelve".