120120121001121 has 16 divisors (see below), whose sum is σ = 163870167929088. Its totient is φ = 78231376195200.

The previous prime is 120120121001117. The next prime is 120120121001149. The reversal of 120120121001121 is 121100121021021.

It is a happy number.

It is not a de Polignac number, because 120120121001121 - 2² = 120120121001117 is a prime.

It is a super-3 number, since 3×120120121001121³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 120120121001121.

It is not an unprimeable number, because it can be changed into a prime (120120120001121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 787276540 + ... + 787429101.

It is an arithmetic number, because the mean of its divisors is an integer number (10241885495568).

Almost surely, 2^{120120121001121} is an apocalyptic number.

It is an amenable number.

120120121001121 is a deficient number, since it is larger than the sum of its proper divisors (43750046927967).

120120121001121 is a wasteful number, since it uses less digits than its factorization.

120120121001121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1574706232.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 120120121001121 its reverse (121100121021021), we get a palindrome (241220242022142).

The spelling of 120120121001121 in words is "one hundred twenty trillion, one hundred twenty billion, one hundred twenty-one million, one thousand, one hundred twenty-one".