121120112111202 has 96 divisors (see below), whose sum is σ = 270796120948080. Its totient is φ = 39096464762880.

The previous prime is 121120112111107. The next prime is 121120112111231. The reversal of 121120112111202 is 202111211021121.

It is a happy number.

121120112111202 is a `hidden beast` number, since 121 + 120 + 11 + 211 + 1 + 202 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 78457804084881 + 42662308026321 = 8857641^2 + 6531639^2 .

It is a super-2 number, since 2×121120112111202² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159256174 + ... + 160014902.

Almost surely, 2^{121120112111202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121120112111202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135398060474040).

121120112111202 is an abundant number, since it is smaller than the sum of its proper divisors (149676008836878).

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

121120112111202 is a wasteful number, since it uses less digits than its factorization.

121120112111202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759908 (or 759905 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 121120112111202 its reverse (202111211021121), we get a palindrome (323231323132323).

The spelling of 121120112111202 in words is "one hundred twenty-one trillion, one hundred twenty billion, one hundred twelve million, one hundred eleven thousand, two hundred two".