120213010000200 has 288 divisors, whose sum is σ = 403562819656800. Its totient is φ = 29588605562880.

The previous prime is 120213010000121. The next prime is 120213010000201. The reversal of 120213010000200 is 2000010312021.

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

It is not an unprimeable number, because it can be changed into a prime (120213010000201) 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, 1578658527 + ... + 1578734673.

It is an arithmetic number, because the mean of its divisors is an integer number (1401259790475).

Almost surely, 2^{120213010000200} is an apocalyptic number.

120213010000200 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 120213010000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201781409828400).

120213010000200 is an abundant number, since it is smaller than the sum of its proper divisors (283349809656600).

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

120213010000200 is a wasteful number, since it uses less digits than its factorization.

120213010000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91761 (or 91739 counting only the distinct ones).

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

Adding to 120213010000200 its reverse (2000010312021), we get a palindrome (122213020312221).

The spelling of 120213010000200 in words is "one hundred twenty trillion, two hundred thirteen billion, ten million, two hundred", and thus it is an aban number.