121201200000000 has 1188 divisors, whose sum is σ = 442511597652696. Its totient is φ = 31948800000000.

The previous prime is 121201199999981. The next prime is 121201200000017. The reversal of 121201200000000 is 2102121.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 107 ways as a sum of consecutive naturals, for example, 471599999872 + ... + 471600000128.

Almost surely, 2^{121201200000000} is an apocalyptic number.

121201200000000 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 121201200000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221255798826348).

121201200000000 is an abundant number, since it is smaller than the sum of its proper divisors (321310397652696).

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

121201200000000 is an frugal number, since it uses more digits than its factorization.

121201200000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 121201200000000 its reverse (2102121), we get a palindrome (121201202102121).

The spelling of 121201200000000 in words is "one hundred twenty-one trillion, two hundred one billion, two hundred million", and thus it is an aban number.