121000001001012 has 240 divisors, whose sum is σ = 362695753728000. Its totient is φ = 34457790443328.

The previous prime is 121000001000959. The next prime is 121000001001017. The reversal of 121000001001012 is 210100100000121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 121000001000985 and 121000001001003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121000001001017) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1302050893 + ... + 1302143819.

It is an arithmetic number, because the mean of its divisors is an integer number (1511232307200).

Almost surely, 2^{121000001001012} is an apocalyptic number.

121000001001012 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 121000001001012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181347876864000).

121000001001012 is an abundant number, since it is smaller than the sum of its proper divisors (241695752726988).

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

121000001001012 is a wasteful number, since it uses less digits than its factorization.

121000001001012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94832 (or 94821 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 121000001001012 its reverse (210100100000121), we get a palindrome (331100101001133).

The spelling of 121000001001012 in words is "one hundred twenty-one trillion, one million, one thousand, twelve".