121013302001220 has 144 divisors (see below), whose sum is σ = 368924174341632. Its totient is φ = 32107853917440.

The previous prime is 121013302001167. The next prime is 121013302001237. The reversal of 121013302001220 is 22100203310121.

121013302001220 is a `hidden beast` number, since 1 + 2 + 10 + 1 + 330 + 200 + 122 + 0 = 666.

It is a super-2 number, since 2×121013302001220² (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 121013302001193 and 121013302001202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34574094 + ... + 37912986.

It is an arithmetic number, because the mean of its divisors is an integer number (2561973432928).

Almost surely, 2^{121013302001220} is an apocalyptic number.

121013302001220 is a gapful number since it is divisible by the number (10) 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 121013302001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184462087170816).

121013302001220 is an abundant number, since it is smaller than the sum of its proper divisors (247910872340412).

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

121013302001220 is a wasteful number, since it uses less digits than its factorization.

121013302001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3339922 (or 3339917 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 121013302001220 its reverse (22100203310121), we get a palindrome (143113505311341).

The spelling of 121013302001220 in words is "one hundred twenty-one trillion, thirteen billion, three hundred two million, one thousand, two hundred twenty".