121122221022012 has 192 divisors, whose sum is σ = 335471242982400. Its totient is φ = 33294826414080.

The previous prime is 121122221021909. The next prime is 121122221022013. The reversal of 121122221022012 is 210220122221121.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 121122221022012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121122221022013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 115648248 + ... + 116690880.

It is an arithmetic number, because the mean of its divisors is an integer number (1747246057200).

Almost surely, 2^{121122221022012} is an apocalyptic number.

121122221022012 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 121122221022012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167735621491200).

121122221022012 is an abundant number, since it is smaller than the sum of its proper divisors (214349021960388).

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

121122221022012 is a wasteful number, since it uses less digits than its factorization.

121122221022012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043156 (or 1043154 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 121122221022012 its reverse (210220122221121), we get a palindrome (331342343243133).

The spelling of 121122221022012 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, two hundred twenty-one million, twenty-two thousand, twelve".