121221434033200 has 120 divisors (see below), whose sum is σ = 291720281738256. Its totient is φ = 48407713920000.

The previous prime is 121221434033197. The next prime is 121221434033261. The reversal of 121221434033200 is 2330434122121.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2209985775 + ... + 2210040625.

Almost surely, 2^{121221434033200} is an apocalyptic number.

121221434033200 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 121221434033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145860140869128).

121221434033200 is an abundant number, since it is smaller than the sum of its proper divisors (170498847705056).

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

121221434033200 is a wasteful number, since it uses less digits than its factorization.

121221434033200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63983 (or 63972 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 121221434033200 its reverse (2330434122121), we get a palindrome (123551868155321).

The spelling of 121221434033200 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, four hundred thirty-four million, thirty-three thousand, two hundred".