121212003201120 has 576 divisors, whose sum is σ = 472027650232320. Its totient is φ = 28059644657664.

The previous prime is 121212003201083. The next prime is 121212003201127. The reversal of 121212003201120 is 21102300212121.

121212003201120 is a `hidden beast` number, since 1 + 2 + 1 + 21 + 200 + 320 + 1 + 120 = 666.

121212003201120 is digitally balanced in base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 = 121212003201093 and 121212003201102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121212003201127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 406880062 + ... + 407177858.

It is an arithmetic number, because the mean of its divisors is an integer number (819492448320).

Almost surely, 2^{121212003201120} is an apocalyptic number.

121212003201120 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 121212003201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236013825116160).

121212003201120 is an abundant number, since it is smaller than the sum of its proper divisors (350815647031200).

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

121212003201120 is a wasteful number, since it uses less digits than its factorization.

121212003201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299127 (or 299116 counting only the distinct ones).

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

Adding to 121212003201120 its reverse (21102300212121), we get a palindrome (142314303413241).

The spelling of 121212003201120 in words is "one hundred twenty-one trillion, two hundred twelve billion, three million, two hundred one thousand, one hundred twenty".