121201200000 has 576 divisors, whose sum is σ = 440970369840. Its totient is φ = 31948800000.

The previous prime is 121201199971. The next prime is 121201200007. The reversal of 121201200000 is 2102121.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121201200007) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 471599872 + ... + 471600128.

Almost surely, 2^121201200000 is an apocalyptic number.

121201200000 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 121201200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220485184920).

121201200000 is an abundant number, since it is smaller than the sum of its proper divisors (319769169840).

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

121201200000 is an equidigital number, since it uses as much as digits as its factorization.

121201200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 398 counting only the distinct ones).

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

Adding to 121201200000 its reverse (2102121), we get a palindrome (121203302121).

It can be divided in two parts, 121201 and 200000, that added together give a triangular number (321201 = T₈₀₁).

The spelling of 121201200000 in words is "one hundred twenty-one billion, two hundred one million, two hundred thousand".