120121003200 has 336 divisors, whose sum is σ = 441550738944. Its totient is φ = 28332748800.

The previous prime is 120121003193. The next prime is 120121003267. The reversal of 120121003200 is 2300121021.

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

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, 1922857 + ... + 1984343.

It is an arithmetic number, because the mean of its divisors is an integer number (1314139104).

Almost surely, 2^120121003200 is an apocalyptic number.

120121003200 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 120121003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220775369472).

120121003200 is an abundant number, since it is smaller than the sum of its proper divisors (321429735744).

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

120121003200 is a wasteful number, since it uses less digits than its factorization.

120121003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61560 (or 61545 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 120121003200 its reverse (2300121021), we get a palindrome (122421124221).

The spelling of 120121003200 in words is "one hundred twenty billion, one hundred twenty-one million, three thousand, two hundred".