210120021121200 has 960 divisors, whose sum is σ = 706248877178880. Its totient is φ = 53362423296000.

The previous prime is 210120021121189. The next prime is 210120021121211. The reversal of 210120021121200 is 2121120021012.

It is an interprime number because it is at equal distance from previous prime (210120021121189) and next prime (210120021121211).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 210120021121200.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 179436396615 + ... + 179436397785.

It is an arithmetic number, because the mean of its divisors is an integer number (735675913728).

Almost surely, 2^{210120021121200} is an apocalyptic number.

210120021121200 is a gapful number since it is divisible by the number (20) 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 210120021121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353124438589440).

210120021121200 is an abundant number, since it is smaller than the sum of its proper divisors (496128856057680).

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

210120021121200 is a wasteful number, since it uses less digits than its factorization.

210120021121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1898 (or 1887 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 210120021121200 its reverse (2121120021012), we get a palindrome (212241141142212).

The spelling of 210120021121200 in words is "two hundred ten trillion, one hundred twenty billion, twenty-one million, one hundred twenty-one thousand, two hundred".