120101221201200 has 480 divisors, whose sum is σ = 393948412354560. Its totient is φ = 31268737843200.

The previous prime is 120101221201139. The next prime is 120101221201217. The reversal of 120101221201200 is 2102122101021.

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 120101221201200.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12147382657 + ... + 12147392543.

It is an arithmetic number, because the mean of its divisors is an integer number (820725859072).

Almost surely, 2^{120101221201200} is an apocalyptic number.

120101221201200 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 120101221201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196974206177280).

120101221201200 is an abundant number, since it is smaller than the sum of its proper divisors (273847191153360).

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

120101221201200 is a wasteful number, since it uses less digits than its factorization.

120101221201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11405 (or 11394 counting only the distinct ones).

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

Adding to 120101221201200 its reverse (2102122101021), we get a palindrome (122203343302221).

The spelling of 120101221201200 in words is "one hundred twenty trillion, one hundred one billion, two hundred twenty-one million, two hundred one thousand, two hundred".