121220201211012 has 144 divisors (see below), whose sum is σ = 328101894010800. Its totient is φ = 37600940974080.

The previous prime is 121220201210993. The next prime is 121220201211089. The reversal of 121220201211012 is 210112102022121.

121220201211012 is a `hidden beast` number, since 1 + 21 + 220 + 201 + 211 + 0 + 12 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 26254084767876 + 94966116443136 = 5123874^2 + 9745056^2 .

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

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, 2116652314 + ... + 2116709582.

It is an arithmetic number, because the mean of its divisors is an integer number (2278485375075).

Almost surely, 2^{121220201211012} is an apocalyptic number.

121220201211012 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 121220201211012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164050947005400).

121220201211012 is an abundant number, since it is smaller than the sum of its proper divisors (206881692799788).

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

121220201211012 is a wasteful number, since it uses less digits than its factorization.

121220201211012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96246 (or 96241 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 121220201211012 its reverse (210112102022121), we get a palindrome (331332303233133).

The spelling of 121220201211012 in words is "one hundred twenty-one trillion, two hundred twenty billion, two hundred one million, two hundred eleven thousand, twelve".