120201012213200 has 240 divisors, whose sum is σ = 300084681111600. Its totient is φ = 46233383731200.

The previous prime is 120201012213173. The next prime is 120201012213209. The reversal of 120201012213200 is 2312210102021.

It can be written as a sum of positive squares in 24 ways, for example, as 118643767786384 + 1557244426816 = 10892372^2 + 1247896^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120201012213209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1782597086 + ... + 1782664514.

It is an arithmetic number, because the mean of its divisors is an integer number (1250352837965).

Almost surely, 2^{120201012213200} is an apocalyptic number.

120201012213200 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 120201012213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150042340555800).

120201012213200 is an abundant number, since it is smaller than the sum of its proper divisors (179883668898400).

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

120201012213200 is a wasteful number, since it uses less digits than its factorization.

120201012213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69050 (or 69039 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 120201012213200 its reverse (2312210102021), we get a palindrome (122513222315221).

The spelling of 120201012213200 in words is "one hundred twenty trillion, two hundred one billion, twelve million, two hundred thirteen thousand, two hundred".