121020001212120 has 128 divisors (see below), whose sum is σ = 371555021376000. Its totient is φ = 31517096776704.

The previous prime is 121020001212079. The next prime is 121020001212139. The reversal of 121020001212120 is 21212100020121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 121020001212120.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 35485581 + ... + 38746179.

It is an arithmetic number, because the mean of its divisors is an integer number (2902773604500).

Almost surely, 2^{121020001212120} is an apocalyptic number.

121020001212120 is a gapful number since it is divisible by the number (10) 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 121020001212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185777510688000).

121020001212120 is an abundant number, since it is smaller than the sum of its proper divisors (250535020163880).

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

121020001212120 is a wasteful number, since it uses less digits than its factorization.

121020001212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3267849 (or 3267845 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 121020001212120 its reverse (21212100020121), we get a palindrome (142232101232241).

It can be divided in two parts, 121020001 and 212120, that added together give a palindrome (121232121).

The spelling of 121020001212120 in words is "one hundred twenty-one trillion, twenty billion, one million, two hundred twelve thousand, one hundred twenty".