121000011121122 has 256 divisors, whose sum is σ = 292988842868736. Its totient is φ = 32597074944000.

The previous prime is 121000011120991. The next prime is 121000011121123. The reversal of 121000011121122 is 221121110000121.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (121000011121123) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2478417472 + ... + 2478466292.

It is an arithmetic number, because the mean of its divisors is an integer number (1144487667456).

Almost surely, 2^{121000011121122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121000011121122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146494421434368).

121000011121122 is an abundant number, since it is smaller than the sum of its proper divisors (171988831747614).

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

121000011121122 is a wasteful number, since it uses less digits than its factorization.

121000011121122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49305.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 121000011121122 its reverse (221121110000121), we get a palindrome (342121121121243).

The spelling of 121000011121122 in words is "one hundred twenty-one trillion, eleven million, one hundred twenty-one thousand, one hundred twenty-two".