121012002012120 has 256 divisors, whose sum is σ = 386042191833600. Its totient is φ = 30260817653760.

The previous prime is 121012002012043. The next prime is 121012002012151. The reversal of 121012002012120 is 21210200210121.

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 121012002012120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 107830690 + ... + 108947150.

It is an arithmetic number, because the mean of its divisors is an integer number (1507977311850).

Almost surely, 2^{121012002012120} is an apocalyptic number.

121012002012120 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 121012002012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193021095916800).

121012002012120 is an abundant number, since it is smaller than the sum of its proper divisors (265030189821480).

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

121012002012120 is a wasteful number, since it uses less digits than its factorization.

121012002012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116978 (or 1116974 counting only the distinct ones).

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

Adding to 121012002012120 its reverse (21210200210121), we get a palindrome (142222202222241).

The spelling of 121012002012120 in words is "one hundred twenty-one trillion, twelve billion, two million, twelve thousand, one hundred twenty".