122113100121012 has 288 divisors, whose sum is σ = 414789690841344. Its totient is φ = 29253477888000.

The previous prime is 122113100120989. The next prime is 122113100121017. The reversal of 122113100121012 is 210121001311221.

It is a happy number.

122113100121012 is a `hidden beast` number, since 1 + 221 + 1 + 310 + 0 + 121 + 0 + 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 (122113100121017) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41868478 + ... + 44689994.

It is an arithmetic number, because the mean of its divisors is an integer number (1440241982088).

Almost surely, 2^{122113100121012} is an apocalyptic number.

122113100121012 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 122113100121012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207394845420672).

122113100121012 is an abundant number, since it is smaller than the sum of its proper divisors (292676590720332).

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

122113100121012 is a wasteful number, since it uses less digits than its factorization.

122113100121012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2822759 (or 2822754 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 122113100121012 its reverse (210121001311221), we get a palindrome (332234101432233).

The spelling of 122113100121012 in words is "one hundred twenty-two trillion, one hundred thirteen billion, one hundred million, one hundred twenty-one thousand, twelve".