121001122201120 has 48 divisors (see below), whose sum is σ = 326703029946048. Its totient is φ = 41486099040000.

The previous prime is 121001122201051. The next prime is 121001122201121. The reversal of 121001122201120 is 21102221100121.

It is a super-3 number, since 3×121001122201120³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 121001122201094 and 121001122201103.

It is not an unprimeable number, because it can be changed into a prime (121001122201121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54018357006 + ... + 54018359245.

It is an arithmetic number, because the mean of its divisors is an integer number (6806313123876).

Almost surely, 2^{121001122201120} is an apocalyptic number.

121001122201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121001122201120 is an abundant number, since it is smaller than the sum of its proper divisors (205701907744928).

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

121001122201120 is a wasteful number, since it uses less digits than its factorization.

121001122201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108036716273 (or 108036716265 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 121001122201120 its reverse (21102221100121), we get a palindrome (142103343301241).

The spelling of 121001122201120 in words is "one hundred twenty-one trillion, one billion, one hundred twenty-two million, two hundred one thousand, one hundred twenty".