120201212010000 has 800 divisors, whose sum is σ = 452640386411136. Its totient is φ = 27153920000000.

The previous prime is 120201212009917. The next prime is 120201212010091. The reversal of 120201212010000 is 10212102021.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 566503930 + ... + 566716070.

Almost surely, 2^{120201212010000} is an apocalyptic number.

120201212010000 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 120201212010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226320193205568).

120201212010000 is an abundant number, since it is smaller than the sum of its proper divisors (332439174401136).

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

120201212010000 is a wasteful number, since it uses less digits than its factorization.

120201212010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212301 (or 212280 counting only the distinct ones).

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

Adding to 120201212010000 its reverse (10212102021), we get a palindrome (120211424112021).

The spelling of 120201212010000 in words is "one hundred twenty trillion, two hundred one billion, two hundred twelve million, ten thousand".