121213212120 has 768 divisors, whose sum is σ = 543285550080. Its totient is φ = 22618828800.

The previous prime is 121213212091. The next prime is 121213212149. The reversal of 121213212120 is 21212312121.

121213212120 is a `hidden beast` number, since 12 + 121 + 321 + 212 + 0 = 666.

121213212120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (121213212091) and next prime (121213212149).

It is a super-2 number, since 2×121213212120² (a number of 23 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 = 121213212093 and 121213212102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13328775 + ... + 13337865.

It is an arithmetic number, because the mean of its divisors is an integer number (707403060).

Almost surely, 2^121213212120 is an apocalyptic number.

121213212120 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 121213212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271642775040).

121213212120 is an abundant number, since it is smaller than the sum of its proper divisors (422072337960).

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

121213212120 is a wasteful number, since it uses less digits than its factorization.

121213212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9176 (or 9169 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 121213212120 its reverse (21212312121), we get a palindrome (142425524241).

It can be divided in two parts, 121213 and 212120, that added together give a palindrome (333333).

The spelling of 121213212120 in words is "one hundred twenty-one billion, two hundred thirteen million, two hundred twelve thousand, one hundred twenty".