121012201200 has 240 divisors, whose sum is σ = 428842052352. Its totient is φ = 28922880000.

The previous prime is 121012201111. The next prime is 121012201213. The reversal of 121012201200 is 2102210121.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 872640 + ... + 1001760.

Almost surely, 2^121012201200 is an apocalyptic number.

121012201200 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 121012201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214421026176).

121012201200 is an abundant number, since it is smaller than the sum of its proper divisors (307829851152).

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

121012201200 is a wasteful number, since it uses less digits than its factorization.

121012201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129224 (or 129213 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 121012201200 its reverse (2102210121), we get a palindrome (123114411321).

The spelling of 121012201200 in words is "one hundred twenty-one billion, twelve million, two hundred one thousand, two hundred".