121011221211120 has 120 divisors (see below), whose sum is σ = 406485959349600. Its totient is φ = 32262517237248.

The previous prime is 121011221211107. The next prime is 121011221211143. The reversal of 121011221211120 is 21112122110121.

It is a happy number.

121011221211120 is a `hidden beast` number, since 1 + 210 + 1 + 1 + 221 + 211 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×121011221211120² (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 = 121011221211093 and 121011221211102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15342375 + ... + 21849734.

It is an arithmetic number, because the mean of its divisors is an integer number (3387382994580).

Almost surely, 2^{121011221211120} is an apocalyptic number.

121011221211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121011221211120 is an abundant number, since it is smaller than the sum of its proper divisors (285474738138480).

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

121011221211120 is a wasteful number, since it uses less digits than its factorization.

121011221211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37196647 (or 37196638 counting only the distinct ones).

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

Adding to 121011221211120 its reverse (21112122110121), we get a palindrome (142123343321241).

The spelling of 121011221211120 in words is "one hundred twenty-one trillion, eleven billion, two hundred twenty-one million, two hundred eleven thousand, one hundred twenty".